78:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
3:@0.054244:0.122645:0.076267:0.122645:0.076267:0.065614:0.054244:0.065614:0.000000
M.5.2.23. Determinar si dos planos son paralelos (cuando no hay solución) o perpendiculares (si los vectores normales a los planos son perpendiculares) para :@0.125388:0.069719:0.877630:0.069719:0.877630:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver aplicaciones geométricas en  3.:@0.125388:0.080280:0.313472:0.080280:0.313472:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.299808:0.079734:0.308274:0.079734:0.308274:0.071549:0.299808:0.071549:0.000000
Planos paralelos y perpendiculares:@0.115891:0.141978:0.621729:0.141978:0.621729:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115354:0.670686:0.272476:0.670686:0.272476:0.652249:0.115354:0.652249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.115354:0.694942:0.155213:0.694942:0.155213:0.678553:0.115354:0.678553:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.158192:0.681881:0.071564:0.681881:0.071564:0.665132:0.158192:0.665132:0.000000
:@0.252376:0.681881:0.165747:0.681881:0.165747:0.665132:0.252376:0.665132:0.000000
:@0.158192:0.705420:0.139525:0.705420:0.139525:0.688672:0.158192:0.688672:0.000000
:@0.184415:0.705420:0.165747:0.705420:0.165747:0.688672:0.184415:0.688672:0.000000
:@0.158026:0.742153:0.137314:0.742153:0.137314:0.725405:0.158026:0.725405:0.000000
:@0.186294:0.742153:0.165582:0.742153:0.165582:0.725405:0.186294:0.725405:0.000000
:@0.212517:0.742153:0.120139:0.742153:0.120139:0.725405:0.212517:0.725405:0.000000
:@0.312450:0.742153:0.220072:0.742153:0.220072:0.725405:0.312450:0.725405:0.000000
:@0.410098:0.742153:0.317665:0.742153:0.317665:0.725405:0.410098:0.725405:0.000000
:@0.510086:0.742153:0.417653:0.742153:0.417653:0.725405:0.510086:0.725405:0.000000
:@0.606684:0.742153:0.520793:0.742153:0.520793:0.725405:0.606684:0.725405:0.000000
:@0.700130:0.742153:0.614239:0.742153:0.614239:0.725405:0.700130:0.725405:0.000000
:@0.804781:0.742153:0.812336:0.742153:0.812336:0.725405:0.804781:0.725405:0.000000
:@0.158026:0.783216:0.137314:0.783216:0.137314:0.766467:0.158026:0.766467:0.000000
:@0.186294:0.783216:0.165582:0.783216:0.165582:0.766467:0.186294:0.766467:0.000000
:@0.212517:0.783216:0.183217:0.783216:0.183217:0.766467:0.212517:0.766467:0.000000
:@0.249372:0.783216:0.220072:0.783216:0.220072:0.766467:0.249372:0.766467:0.000000
:@0.280478:0.783216:0.254937:0.783216:0.254937:0.766467:0.280478:0.766467:0.000000
:@0.313574:0.783216:0.288033:0.783216:0.288033:0.766467:0.313574:0.766467:0.000000
a:@0.157455:0.694771:0.166724:0.694771:0.166724:0.678409:0.157455:0.678409:0.000000
b:@0.251417:0.694771:0.260687:0.694771:0.260687:0.678409:0.251417:0.678409:0.000000
ab:@0.157455:0.718310:0.192744:0.718310:0.192744:0.701949:0.157455:0.701949:0.000000:0.000000
n:@0.157455:0.755043:0.166964:0.755043:0.166964:0.738682:0.157455:0.738682:0.000000
a b:@0.185576:0.755043:0.220864:0.755043:0.220864:0.738682:0.185576:0.738682:0.000000:0.000000:0.000000
b:@0.253316:0.743689:0.262585:0.743689:0.262585:0.727327:0.253316:0.727327:0.000000
c:@0.286080:0.743689:0.293746:0.743689:0.293746:0.727327:0.286080:0.727327:0.000000
b:@0.252210:0.766633:0.261479:0.766633:0.261479:0.750272:0.252210:0.750272:0.000000
c:@0.284937:0.766633:0.292603:0.766633:0.292603:0.750272:0.284937:0.750272:0.000000
i:@0.313832:0.755043:0.317628:0.755043:0.317628:0.738682:0.313832:0.738682:0.000000
a:@0.349213:0.743689:0.358482:0.743689:0.358482:0.727327:0.349213:0.727327:0.000000
c:@0.382401:0.743689:0.390067:0.743689:0.390067:0.727327:0.382401:0.727327:0.000000
a:@0.348107:0.766633:0.357376:0.766633:0.357376:0.750272:0.348107:0.750272:0.000000
c:@0.381240:0.766633:0.388906:0.766633:0.388906:0.750272:0.381240:0.750272:0.000000
j:@0.413175:0.755043:0.416806:0.755043:0.416806:0.738682:0.413175:0.738682:0.000000
a:@0.448206:0.743689:0.457475:0.743689:0.457475:0.727327:0.448206:0.727327:0.000000
b b:@0.481026:0.743689:0.493329:0.743461:0.493329:0.727100:0.481026:0.727327:0.000000:0.000000:0.000000
a:@0.447101:0.766633:0.456370:0.766633:0.456370:0.750272:0.447101:0.750272:0.000000
b:@0.479865:0.766633:0.489134:0.766633:0.489134:0.750272:0.479865:0.750272:0.000000
k:@0.509497:0.755043:0.517070:0.755043:0.517070:0.738682:0.509497:0.738682:0.000000
i:@0.608029:0.755043:0.611825:0.755043:0.611825:0.738682:0.608029:0.738682:0.000000
j:@0.703189:0.755043:0.706820:0.755043:0.706820:0.738682:0.703189:0.738682:0.000000
k:@0.804173:0.755043:0.811747:0.755043:0.811747:0.738682:0.804173:0.738682:0.000000
n:@0.157437:0.796105:0.166945:0.796105:0.166945:0.779744:0.157437:0.779744:0.000000
a b:@0.185557:0.796105:0.220846:0.796105:0.220846:0.779744:0.185557:0.779744:0.000000:0.000000:0.000000
i:@0.250736:0.796105:0.254532:0.796105:0.254532:0.779744:0.250736:0.779744:0.000000
j:@0.283555:0.796105:0.287186:0.796105:0.287186:0.779744:0.283555:0.779744:0.000000
k:@0.312984:0.796105:0.320558:0.796105:0.320558:0.779744:0.312984:0.779744:0.000000
=:@0.171110:0.695448:0.181227:0.695448:0.181227:0.679875:0.171110:0.679875:0.000000
=:@0.265072:0.695448:0.275189:0.695448:0.275189:0.679875:0.265072:0.679875:0.000000
×:@0.170059:0.718988:0.180176:0.718988:0.180176:0.703415:0.170059:0.703415:0.000000
=× =:@0.170741:0.755721:0.235349:0.755721:0.235349:0.740148:0.170741:0.740148:0.000000:0.000000:0.000000:0.000000
−:@0.321829:0.755721:0.331946:0.755721:0.331946:0.740148:0.321829:0.740148:0.000000
+:@0.420823:0.755721:0.430939:0.755721:0.430939:0.740148:0.420823:0.740148:0.000000
=:@0.522433:0.755721:0.532549:0.755721:0.532549:0.740148:0.522433:0.740148:0.000000
−:@0.616045:0.755721:0.626162:0.755721:0.626162:0.740148:0.616045:0.740148:0.000000
+:@0.710855:0.755721:0.720972:0.755721:0.720972:0.740148:0.710855:0.740148:0.000000
=× =− −:@0.170741:0.796783:0.268850:0.796783:0.268850:0.781210:0.170741:0.781210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.291184:0.796783:0.301301:0.796783:0.301301:0.781210:0.291184:0.781210:0.000000
= −−−:@0.325902:0.796783:0.405712:0.796783:0.405712:0.781210:0.325902:0.781210:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.185572:0.695550:0.191709:0.695550:0.191709:0.677377:0.185572:0.677377:0.000000
),:@0.233521:0.695550:0.243896:0.695550:0.243896:0.677377:0.233521:0.677377:0.000000:0.000000
(:@0.279553:0.695550:0.285690:0.695550:0.285690:0.677377:0.279553:0.677377:0.000000
):@0.331740:0.695550:0.337877:0.695550:0.337877:0.677377:0.331740:0.677377:0.000000
(:@0.340374:0.796881:0.346511:0.796881:0.346511:0.778708:0.340374:0.778708:0.000000
):@0.414288:0.796881:0.420424:0.796881:0.420424:0.778708:0.414288:0.778708:0.000000
1,–2,1:@0.190911:0.694762:0.236077:0.694762:0.236077:0.678373:0.190911:0.678373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,1,0 , :@0.286403:0.694762:0.347147:0.694942:0.347147:0.678553:0.286403:0.678373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 1:@0.549779:0.748118:0.594687:0.748118:0.594687:0.731729:0.549779:0.731729:0.000000:0.000000:0.000000:0.000000
1:@0.555013:0.766623:0.564005:0.766623:0.564005:0.750234:0.555013:0.750234:0.000000
0:@0.584700:0.766623:0.593692:0.766623:0.593692:0.750234:0.584700:0.750234:0.000000
1:@0.647354:0.748118:0.656346:0.748118:0.656346:0.731729:0.647354:0.731729:0.000000
1:@0.677815:0.748118:0.686807:0.748118:0.686807:0.731729:0.677815:0.731729:0.000000
–3 0:@0.642323:0.766623:0.685812:0.766623:0.685812:0.750234:0.642323:0.750234:0.000000:0.000000:0.000000:0.000000
1:@0.742145:0.748118:0.751138:0.748118:0.751138:0.731729:0.742145:0.731729:0.000000
–2:@0.771980:0.748118:0.790186:0.748118:0.790186:0.731729:0.771980:0.731729:0.000000:0.000000
–3:@0.737115:0.766623:0.755321:0.766623:0.755321:0.750234:0.737115:0.750234:0.000000:0.000000
1:@0.777213:0.766623:0.786206:0.766623:0.786206:0.750234:0.777213:0.750234:0.000000
3:@0.272130:0.796095:0.281123:0.796095:0.281123:0.779706:0.272130:0.779706:0.000000
5:@0.304581:0.796095:0.313574:0.796095:0.313574:0.779706:0.304581:0.779706:0.000000
1, 3, 5:@0.357155:0.796095:0.414502:0.796095:0.414502:0.779706:0.357155:0.779706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.261114:0.746664:0.266325:0.746664:0.266325:0.737166:0.261114:0.737166:0.000000
1:@0.293153:0.746664:0.298364:0.746664:0.298364:0.737166:0.293153:0.737166:0.000000
2:@0.260697:0.769612:0.265909:0.769612:0.265909:0.760114:0.260697:0.760114:0.000000
2:@0.292683:0.769612:0.297894:0.769612:0.297894:0.760114:0.292683:0.760114:0.000000
1:@0.357444:0.746664:0.362656:0.746664:0.362656:0.737166:0.357444:0.737166:0.000000
1:@0.389483:0.746664:0.394695:0.746664:0.394695:0.737166:0.389483:0.737166:0.000000
2:@0.357028:0.769612:0.362239:0.769612:0.362239:0.760114:0.357028:0.760114:0.000000
2:@0.389013:0.769612:0.394225:0.769612:0.394225:0.760114:0.389013:0.760114:0.000000
1:@0.456445:0.746664:0.461656:0.746664:0.461656:0.737166:0.456445:0.737166:0.000000
12:@0.488847:0.746664:0.497759:0.746440:0.497759:0.736942:0.488847:0.737166:0.000000:0.000000
2:@0.456028:0.769612:0.461240:0.769612:0.461240:0.760114:0.456028:0.760114:0.000000
2:@0.488377:0.769612:0.493588:0.769612:0.493588:0.760114:0.488377:0.760114:0.000000
halla :@0.347147:0.694942:0.387743:0.694942:0.387743:0.678318:0.347147:0.678318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.390042:0.658709:0.303414:0.658709:0.303414:0.641960:0.390042:0.641960:0.000000
:@0.484226:0.658709:0.397597:0.658709:0.397597:0.641960:0.484226:0.641960:0.000000
:@0.390042:0.682248:0.371375:0.682248:0.371375:0.665499:0.390042:0.665499:0.000000
:@0.416264:0.682248:0.397597:0.682248:0.397597:0.665499:0.416264:0.665499:0.000000
:@0.389876:0.718981:0.369163:0.718981:0.369163:0.702233:0.389876:0.702233:0.000000
:@0.418144:0.718981:0.397431:0.718981:0.397431:0.702233:0.418144:0.702233:0.000000
:@0.444367:0.718981:0.351989:0.718981:0.351989:0.702233:0.444367:0.702233:0.000000
:@0.544300:0.718981:0.451922:0.718981:0.451922:0.702233:0.544300:0.702233:0.000000
:@0.641948:0.718981:0.549515:0.718981:0.549515:0.702233:0.641948:0.702233:0.000000
:@0.741936:0.718981:0.649503:0.718981:0.649503:0.702233:0.741936:0.702233:0.000000
:@0.838534:0.718981:0.752642:0.718981:0.752642:0.702233:0.838534:0.702233:0.000000
:@0.931980:0.718981:0.846089:0.718981:0.846089:0.702233:0.931980:0.702233:0.000000
:@0.389876:0.760043:0.369163:0.760043:0.369163:0.743295:0.389876:0.743295:0.000000
:@0.418144:0.760043:0.397431:0.760043:0.397431:0.743295:0.418144:0.743295:0.000000
:@0.444367:0.760043:0.415067:0.760043:0.415067:0.743295:0.444367:0.743295:0.000000
:@0.481222:0.760043:0.451922:0.760043:0.451922:0.743295:0.481222:0.743295:0.000000
:@0.512328:0.760043:0.486787:0.760043:0.486787:0.743295:0.512328:0.743295:0.000000
:@0.545424:0.760043:0.519883:0.760043:0.519883:0.743295:0.545424:0.743295:0.000000
a:@0.389305:0.671599:0.398574:0.671599:0.398574:0.655237:0.389305:0.655237:0.000000
b:@0.483267:0.671599:0.492536:0.671599:0.492536:0.655237:0.483267:0.655237:0.000000
ab:@0.389305:0.695138:0.424594:0.695138:0.424594:0.678777:0.389305:0.678777:0.000000:0.000000
n:@0.389305:0.731871:0.398813:0.731871:0.398813:0.715510:0.389305:0.715510:0.000000
a b:@0.417425:0.731871:0.452714:0.731871:0.452714:0.715510:0.417425:0.715510:0.000000:0.000000:0.000000
b:@0.485165:0.720516:0.494434:0.720516:0.494434:0.704155:0.485165:0.704155:0.000000
c:@0.517930:0.720516:0.525596:0.720516:0.525596:0.704155:0.517930:0.704155:0.000000
c:@0.516787:0.743461:0.524453:0.743461:0.524453:0.727100:0.516787:0.727100:0.000000
i:@0.545682:0.731871:0.549478:0.731871:0.549478:0.715510:0.545682:0.715510:0.000000
a:@0.581063:0.720516:0.590332:0.720516:0.590332:0.704155:0.581063:0.704155:0.000000
c:@0.614251:0.720516:0.621917:0.720516:0.621917:0.704155:0.614251:0.704155:0.000000
a:@0.579957:0.743461:0.589226:0.743461:0.589226:0.727100:0.579957:0.727100:0.000000
c:@0.613090:0.743461:0.620756:0.743461:0.620756:0.727100:0.613090:0.727100:0.000000
j:@0.645025:0.731871:0.648655:0.731871:0.648655:0.715510:0.645025:0.715510:0.000000
a:@0.680056:0.720516:0.689325:0.720516:0.689325:0.704155:0.680056:0.704155:0.000000
b:@0.712876:0.720516:0.722145:0.720516:0.722145:0.704155:0.712876:0.704155:0.000000
a:@0.678950:0.743461:0.688219:0.743461:0.688219:0.727100:0.678950:0.727100:0.000000
b:@0.711715:0.743461:0.720984:0.743461:0.720984:0.727100:0.711715:0.727100:0.000000
k:@0.741346:0.731871:0.748920:0.731871:0.748920:0.715510:0.741346:0.715510:0.000000
i:@0.839879:0.731871:0.843675:0.731871:0.843675:0.715510:0.839879:0.715510:0.000000
j:@0.935039:0.731871:0.938669:0.731871:0.938669:0.715510:0.935039:0.715510:0.000000
n:@0.389286:0.772933:0.398795:0.772933:0.398795:0.756572:0.389286:0.756572:0.000000
a b:@0.417407:0.772933:0.452696:0.772933:0.452696:0.756572:0.417407:0.756572:0.000000:0.000000:0.000000
i:@0.482585:0.772933:0.486382:0.772933:0.486382:0.756572:0.482585:0.756572:0.000000
j:@0.515405:0.772933:0.519035:0.772933:0.519035:0.756572:0.515405:0.756572:0.000000
k:@0.544834:0.772933:0.552408:0.772933:0.552408:0.756572:0.544834:0.756572:0.000000
=:@0.402960:0.672276:0.413076:0.672276:0.413076:0.656703:0.402960:0.656703:0.000000
=:@0.496922:0.672276:0.507039:0.672276:0.507039:0.656703:0.496922:0.656703:0.000000
×:@0.401909:0.695816:0.412026:0.695816:0.412026:0.680243:0.401909:0.680243:0.000000
=× =:@0.402591:0.732549:0.467198:0.732549:0.467198:0.716976:0.402591:0.716976:0.000000:0.000000:0.000000:0.000000
−:@0.553679:0.732549:0.563796:0.732549:0.563796:0.716976:0.553679:0.716976:0.000000
+:@0.652673:0.732549:0.662789:0.732549:0.662789:0.716976:0.652673:0.716976:0.000000
=:@0.754283:0.732549:0.764399:0.732549:0.764399:0.716976:0.754283:0.716976:0.000000
−:@0.847895:0.732549:0.858012:0.732549:0.858012:0.716976:0.847895:0.716976:0.000000
+:@0.942705:0.732549:0.952822:0.732549:0.952822:0.716976:0.942705:0.716976:0.000000
=× =− −:@0.402591:0.773611:0.500700:0.773611:0.500700:0.758038:0.402591:0.758038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.523034:0.773611:0.533151:0.773611:0.533151:0.758038:0.523034:0.758038:0.000000
= −−−:@0.557752:0.773611:0.637562:0.773611:0.637562:0.758038:0.557752:0.758038:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.417388:0.672387:0.423525:0.672387:0.423525:0.654214:0.417388:0.654214:0.000000
),:@0.465337:0.672387:0.475712:0.672387:0.475712:0.654214:0.465337:0.654214:0.000000:0.000000
(:@0.511369:0.672387:0.517506:0.672387:0.517506:0.654214:0.511369:0.654214:0.000000
):@0.563557:0.672387:0.569693:0.672387:0.569693:0.654214:0.563557:0.654214:0.000000
(:@0.572199:0.773722:0.578335:0.773722:0.578335:0.755549:0.572199:0.755549:0.000000
):@0.646112:0.773722:0.652249:0.773722:0.652249:0.755549:0.646112:0.755549:0.000000
1,–2,1:@0.422733:0.671599:0.467899:0.671599:0.467899:0.655210:0.422733:0.655210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,1,0:@0.518225:0.671599:0.563022:0.671599:0.563022:0.655210:0.518225:0.655210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 1:@0.781592:0.724956:0.826500:0.724956:0.826500:0.708567:0.781592:0.708567:0.000000:0.000000:0.000000:0.000000
1:@0.786826:0.743461:0.795818:0.743461:0.795818:0.727072:0.786826:0.727072:0.000000
0:@0.816513:0.743461:0.825505:0.743461:0.825505:0.727072:0.816513:0.727072:0.000000
1:@0.879167:0.724956:0.888159:0.724956:0.888159:0.708567:0.879167:0.708567:0.000000
1:@0.909628:0.724956:0.918620:0.724956:0.918620:0.708567:0.909628:0.708567:0.000000
–3 0:@0.874136:0.743461:0.917625:0.743461:0.917625:0.727072:0.874136:0.727072:0.000000:0.000000:0.000000:0.000000
1:@0.973958:0.724956:0.982951:0.724956:0.982951:0.708567:0.973958:0.708567:0.000000
–3:@0.968928:0.743461:0.987134:0.743461:0.987134:0.727072:0.968928:0.727072:0.000000:0.000000
3:@0.503943:0.772933:0.512936:0.772933:0.512936:0.756544:0.503943:0.756544:0.000000
5:@0.536394:0.772933:0.545387:0.772933:0.545387:0.756544:0.536394:0.756544:0.000000
1, 3, 5:@0.588968:0.772933:0.646315:0.772933:0.646315:0.756544:0.588968:0.756544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.492964:0.723492:0.498175:0.723492:0.498175:0.713994:0.492964:0.713994:0.000000
1:@0.525003:0.723492:0.530214:0.723492:0.530214:0.713994:0.525003:0.713994:0.000000
2:@0.524533:0.746440:0.529744:0.746440:0.529744:0.736942:0.524533:0.736942:0.000000
1:@0.589294:0.723492:0.594506:0.723492:0.594506:0.713994:0.589294:0.713994:0.000000
1:@0.621333:0.723492:0.626545:0.723492:0.626545:0.713994:0.621333:0.713994:0.000000
2:@0.588878:0.746440:0.594089:0.746440:0.594089:0.736942:0.588878:0.736942:0.000000
2:@0.620863:0.746440:0.626075:0.746440:0.626075:0.736942:0.620863:0.736942:0.000000
1:@0.688294:0.723492:0.693506:0.723492:0.693506:0.713994:0.688294:0.713994:0.000000
1:@0.720696:0.723492:0.725908:0.723492:0.725908:0.713994:0.720696:0.713994:0.000000
2:@0.687878:0.746440:0.693090:0.746440:0.693090:0.736942:0.687878:0.736942:0.000000
2:@0.720227:0.746440:0.725438:0.746440:0.725438:0.736942:0.720227:0.736942:0.000000
.:@0.429743:0.694942:0.433558:0.694942:0.433558:0.678318:0.429743:0.678318:0.000000
Solución:@0.115349:0.718661:0.184564:0.718661:0.184564:0.701760:0.115349:0.701760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.120355:0.684703:0.042390:0.684703:0.042390:0.669629:0.120355:0.669629:0.000000
:@0.205120:0.684703:0.127155:0.684703:0.127155:0.669629:0.205120:0.669629:0.000000
:@0.120355:0.705888:0.103555:0.705888:0.103555:0.690815:0.120355:0.690815:0.000000
:@0.143955:0.705888:0.127155:0.705888:0.127155:0.690815:0.143955:0.690815:0.000000
:@0.120213:0.738947:0.101571:0.738947:0.101571:0.723873:0.120213:0.723873:0.000000
:@0.145654:0.738947:0.127012:0.738947:0.127012:0.723873:0.145654:0.723873:0.000000
:@0.169254:0.738947:0.086114:0.738947:0.086114:0.723873:0.169254:0.723873:0.000000
:@0.259194:0.738947:0.176054:0.738947:0.176054:0.723873:0.259194:0.723873:0.000000
:@0.347077:0.738947:0.263887:0.738947:0.263887:0.723873:0.347077:0.723873:0.000000
:@0.437067:0.738947:0.353877:0.738947:0.353877:0.723873:0.437067:0.723873:0.000000
:@0.524005:0.738947:0.446703:0.738947:0.446703:0.723873:0.524005:0.723873:0.000000
:@0.608106:0.738947:0.530804:0.738947:0.530804:0.723873:0.608106:0.723873:0.000000
:@0.702292:0.738947:0.709092:0.738947:0.709092:0.723873:0.702292:0.723873:0.000000
:@0.120213:0.775903:0.101571:0.775903:0.101571:0.760829:0.120213:0.760829:0.000000
:@0.145654:0.775903:0.127012:0.775903:0.127012:0.760829:0.145654:0.760829:0.000000
:@0.169254:0.775903:0.142884:0.775903:0.142884:0.760829:0.169254:0.760829:0.000000
:@0.202424:0.775903:0.176054:0.775903:0.176054:0.760829:0.202424:0.760829:0.000000
:@0.230419:0.775903:0.207433:0.775903:0.207433:0.760829:0.230419:0.760829:0.000000
:@0.260206:0.775903:0.237219:0.775903:0.237219:0.760829:0.260206:0.760829:0.000000
a:@0.119695:0.696295:0.128037:0.696295:0.128037:0.681569:0.119695:0.681569:0.000000
b:@0.204261:0.696295:0.212603:0.696295:0.212603:0.681569:0.204261:0.681569:0.000000
ab:@0.119695:0.717480:0.151455:0.717480:0.151455:0.702755:0.119695:0.702755:0.000000:0.000000
n:@0.119695:0.750540:0.128253:0.750540:0.128253:0.735814:0.119695:0.735814:0.000000
a b:@0.145004:0.750540:0.176764:0.750540:0.176764:0.735814:0.145004:0.735814:0.000000:0.000000:0.000000
b:@0.205970:0.740320:0.214312:0.740320:0.214312:0.725595:0.205970:0.725595:0.000000
c:@0.235457:0.740320:0.242357:0.740320:0.242357:0.725595:0.235457:0.725595:0.000000
b:@0.204974:0.760970:0.213317:0.760970:0.213317:0.746245:0.204974:0.746245:0.000000
c:@0.234429:0.760970:0.241328:0.760970:0.241328:0.746245:0.234429:0.746245:0.000000
i:@0.260434:0.750540:0.263851:0.750540:0.263851:0.735814:0.260434:0.735814:0.000000
a:@0.292277:0.740320:0.300619:0.740320:0.300619:0.725595:0.292277:0.725595:0.000000
c:@0.322147:0.740320:0.329046:0.740320:0.329046:0.725595:0.322147:0.725595:0.000000
a:@0.291282:0.760970:0.299624:0.760970:0.299624:0.746245:0.291282:0.746245:0.000000
c:@0.321102:0.760970:0.328001:0.760970:0.328001:0.746245:0.321102:0.746245:0.000000
j:@0.349843:0.750540:0.353111:0.750540:0.353111:0.735814:0.349843:0.735814:0.000000
a:@0.381371:0.740320:0.389713:0.740320:0.389713:0.725595:0.381371:0.725595:0.000000
b:@0.410909:0.740320:0.419251:0.740320:0.419251:0.725595:0.410909:0.725595:0.000000
a:@0.380376:0.760970:0.388718:0.760970:0.388718:0.746245:0.380376:0.746245:0.000000
b:@0.409864:0.760970:0.418206:0.760970:0.418206:0.746245:0.409864:0.746245:0.000000
k:@0.436532:0.750540:0.443349:0.750540:0.443349:0.735814:0.436532:0.735814:0.000000
i:@0.525212:0.750540:0.528628:0.750540:0.528628:0.735814:0.525212:0.735814:0.000000
j:@0.610880:0.750540:0.614148:0.750540:0.614148:0.735814:0.610880:0.735814:0.000000
k:@0.701765:0.750540:0.708582:0.750540:0.708582:0.735814:0.701765:0.735814:0.000000
n:@0.119695:0.787493:0.128253:0.787493:0.128253:0.772768:0.119695:0.772768:0.000000
a b:@0.145004:0.787493:0.176764:0.787493:0.176764:0.772768:0.145004:0.772768:0.000000:0.000000:0.000000
i:@0.203664:0.787493:0.207081:0.787493:0.207081:0.772768:0.203664:0.772768:0.000000
j:@0.233202:0.787493:0.236469:0.787493:0.236469:0.772768:0.233202:0.772768:0.000000
k:@0.259688:0.787493:0.266504:0.787493:0.266504:0.772768:0.259688:0.772768:0.000000
=:@0.131993:0.696904:0.141098:0.696904:0.141098:0.682889:0.131993:0.682889:0.000000
=:@0.216559:0.696904:0.225664:0.696904:0.225664:0.682889:0.216559:0.682889:0.000000
×:@0.131048:0.718090:0.140153:0.718090:0.140153:0.704074:0.131048:0.704074:0.000000
=× =:@0.131663:0.751149:0.189810:0.751149:0.189810:0.737134:0.131663:0.737134:0.000000:0.000000:0.000000:0.000000
−:@0.267642:0.751149:0.276747:0.751149:0.276747:0.737134:0.267642:0.737134:0.000000
+:@0.356736:0.751149:0.365841:0.751149:0.365841:0.737134:0.356736:0.737134:0.000000
=:@0.448185:0.751149:0.457290:0.751149:0.457290:0.737134:0.448185:0.737134:0.000000
−:@0.532436:0.751149:0.541542:0.751149:0.541542:0.737134:0.532436:0.737134:0.000000
+:@0.617766:0.751149:0.626871:0.751149:0.626871:0.737134:0.617766:0.737134:0.000000
=× =− −:@0.131663:0.788103:0.219961:0.788103:0.219961:0.774087:0.131663:0.774087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.240062:0.788103:0.249167:0.788103:0.249167:0.774087:0.240062:0.774087:0.000000
= −−−:@0.271308:0.788103:0.343137:0.788103:0.343137:0.774087:0.271308:0.774087:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.144981:0.697001:0.150503:0.697001:0.150503:0.680645:0.144981:0.680645:0.000000
),:@0.188134:0.697001:0.197472:0.697001:0.197472:0.680645:0.188134:0.680645:0.000000:0.000000
(:@0.229563:0.697001:0.235086:0.697001:0.235086:0.680645:0.229563:0.680645:0.000000
):@0.276532:0.697001:0.282055:0.697001:0.282055:0.680645:0.276532:0.680645:0.000000
(:@0.284310:0.788202:0.289833:0.788202:0.289833:0.771847:0.284310:0.771847:0.000000
):@0.350832:0.788202:0.356355:0.788202:0.356355:0.771847:0.350832:0.771847:0.000000
1,–2,1:@0.149790:0.696292:0.190440:0.696292:0.190440:0.681542:0.149790:0.681542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,1,0:@0.235733:0.696292:0.276051:0.696292:0.276051:0.681542:0.235733:0.681542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 1:@0.472784:0.744316:0.513201:0.744316:0.513201:0.729566:0.472784:0.729566:0.000000:0.000000:0.000000:0.000000
1:@0.477494:0.760970:0.485587:0.760970:0.485587:0.746220:0.477494:0.746220:0.000000
0:@0.504212:0.760970:0.512305:0.760970:0.512305:0.746220:0.504212:0.746220:0.000000
1:@0.560601:0.744316:0.568694:0.744316:0.568694:0.729566:0.560601:0.729566:0.000000
1:@0.588015:0.744316:0.596109:0.744316:0.596109:0.729566:0.588015:0.729566:0.000000
–3 0:@0.556073:0.760970:0.595213:0.760970:0.595213:0.746220:0.556073:0.746220:0.000000:0.000000:0.000000:0.000000
1:@0.645913:0.744316:0.654007:0.744316:0.654007:0.729566:0.645913:0.729566:0.000000
–2:@0.672764:0.744316:0.689150:0.744316:0.689150:0.729566:0.672764:0.729566:0.000000:0.000000
–3:@0.641385:0.760970:0.657771:0.760970:0.657771:0.746220:0.641385:0.746220:0.000000:0.000000
1:@0.677474:0.760970:0.685568:0.760970:0.685568:0.746220:0.677474:0.746220:0.000000
3:@0.222899:0.787496:0.230993:0.787496:0.230993:0.772745:0.222899:0.772745:0.000000
5:@0.252105:0.787496:0.260199:0.787496:0.260199:0.772745:0.252105:0.772745:0.000000
1, 3, 5:@0.299422:0.787496:0.351034:0.787496:0.351034:0.772745:0.299422:0.772745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.212984:0.743008:0.217675:0.743008:0.217675:0.734459:0.212984:0.734459:0.000000
1:@0.241819:0.743008:0.246510:0.743008:0.246510:0.734459:0.241819:0.734459:0.000000
2:@0.212609:0.763660:0.217300:0.763660:0.217300:0.755112:0.212609:0.755112:0.000000
2:@0.241396:0.763660:0.246087:0.763660:0.246087:0.755112:0.241396:0.755112:0.000000
1:@0.299682:0.743008:0.304372:0.743008:0.304372:0.734459:0.299682:0.734459:0.000000
1:@0.328517:0.743008:0.333207:0.743008:0.333207:0.734459:0.328517:0.734459:0.000000
2:@0.299307:0.763660:0.303997:0.763660:0.303997:0.755112:0.299307:0.755112:0.000000
2:@0.328094:0.763660:0.332784:0.763660:0.332784:0.755112:0.328094:0.755112:0.000000
1:@0.388782:0.743008:0.393472:0.743008:0.393472:0.734459:0.388782:0.734459:0.000000
1:@0.417944:0.743008:0.422634:0.743008:0.422634:0.734459:0.417944:0.734459:0.000000
2:@0.388407:0.763660:0.393098:0.763660:0.393098:0.755112:0.388407:0.755112:0.000000
2:@0.417521:0.763660:0.422211:0.763660:0.422211:0.755112:0.417521:0.755112:0.000000
Taller:@0.175844:0.840385:0.236739:0.840385:0.236739:0.806438:0.175844:0.806438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.7.1. Opera analítica, geométrica y gráficamente, con vectores, rectas y planos en el espacio; expresa la ecuación de la recta :@0.256865:0.817850:0.877626:0.817850:0.877626:0.807421:0.256865:0.807421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.874979:0.817850:0.877547:0.817850:0.877547:0.807421:0.874979:0.807421:0.000000
de forma paramétrica y vectorial; halla mediante tres puntos dicha ecuación o a partir de la intersección de dos planos, y determina  :@0.256865:0.828412:0.877547:0.828412:0.877547:0.817982:0.256865:0.817982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ortogonalidad de los mismos, para efectuar aplicaciones geométricas. (I.2.):@0.256865:0.838973:0.613491:0.838973:0.613491:0.828544:0.256865:0.828544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115254:0.883214:0.133995:0.883214:0.133995:0.866078:0.115254:0.866078:0.000000:0.000000:0.000000
Resuelve:@0.148497:0.883214:0.216659:0.883214:0.216659:0.866590:0.148497:0.866590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes productos vectoriales:@0.216659:0.883214:0.482124:0.883214:0.482124:0.866825:0.216659:0.866825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.482124:0.883214:0.486031:0.883214:0.486031:0.866590:0.482124:0.866590:0.000000
:@0.488327:0.846980:0.401698:0.846980:0.401698:0.830231:0.488327:0.830231:0.000000
:@0.582510:0.846980:0.495882:0.846980:0.495882:0.830231:0.582510:0.830231:0.000000
:@0.488327:0.870519:0.469659:0.870519:0.469659:0.853770:0.488327:0.853770:0.000000
:@0.514549:0.870519:0.495882:0.870519:0.495882:0.853770:0.514549:0.853770:0.000000
:@0.488161:0.907252:0.467448:0.907252:0.467448:0.890504:0.488161:0.890504:0.000000
:@0.516429:0.907252:0.495716:0.907252:0.495716:0.890504:0.516429:0.890504:0.000000
:@0.542651:0.907252:0.450273:0.907252:0.450273:0.890504:0.542651:0.890504:0.000000
:@0.642584:0.907252:0.550207:0.907252:0.550207:0.890504:0.642584:0.890504:0.000000
:@0.740232:0.907252:0.647799:0.907252:0.647799:0.890504:0.740232:0.890504:0.000000
:@0.840221:0.907252:0.747788:0.907252:0.747788:0.890504:0.840221:0.890504:0.000000
:@0.936818:0.907252:0.850927:0.907252:0.850927:0.890504:0.936818:0.890504:0.000000
:@1.030265:0.907252:0.944374:0.907252:0.944374:0.890504:1.030265:0.890504:0.000000
:@0.488161:0.948314:0.467448:0.948314:0.467448:0.931566:0.488161:0.931566:0.000000
:@0.516429:0.948314:0.495716:0.948314:0.495716:0.931566:0.516429:0.931566:0.000000
:@0.542651:0.948314:0.513351:0.948314:0.513351:0.931566:0.542651:0.931566:0.000000
:@0.579506:0.948314:0.550207:0.948314:0.550207:0.931566:0.579506:0.931566:0.000000
:@0.610612:0.948314:0.585072:0.948314:0.585072:0.931566:0.610612:0.931566:0.000000
:@0.643708:0.948314:0.618168:0.948314:0.618168:0.931566:0.643708:0.931566:0.000000
a:@0.487589:0.859869:0.496859:0.859869:0.496859:0.843508:0.487589:0.843508:0.000000
b:@0.581552:0.859869:0.590821:0.859869:0.590821:0.843508:0.581552:0.843508:0.000000
ab:@0.487589:0.883409:0.522878:0.883409:0.522878:0.867047:0.487589:0.867047:0.000000:0.000000
n:@0.487589:0.920142:0.497098:0.920142:0.497098:0.903781:0.487589:0.903781:0.000000
a b:@0.515710:0.920142:0.550999:0.920142:0.550999:0.903781:0.515710:0.903781:0.000000:0.000000:0.000000
b:@0.583450:0.908787:0.592719:0.908787:0.592719:0.892426:0.583450:0.892426:0.000000
c:@0.616214:0.908787:0.623880:0.908787:0.623880:0.892426:0.616214:0.892426:0.000000
b:@0.582344:0.931732:0.591613:0.931732:0.591613:0.915370:0.582344:0.915370:0.000000
c:@0.615072:0.931732:0.622738:0.931732:0.622738:0.915370:0.615072:0.915370:0.000000
i:@0.643966:0.920142:0.647762:0.920142:0.647762:0.903781:0.643966:0.903781:0.000000
a:@0.679347:0.908787:0.688616:0.908787:0.688616:0.892426:0.679347:0.892426:0.000000
c:@0.712536:0.908787:0.720201:0.908787:0.720201:0.892426:0.712536:0.892426:0.000000
a:@0.678242:0.931732:0.687511:0.931732:0.687511:0.915370:0.678242:0.915370:0.000000
c:@0.711375:0.931732:0.719041:0.931732:0.719041:0.915370:0.711375:0.915370:0.000000
j:@0.743310:0.920142:0.746940:0.920142:0.746940:0.903781:0.743310:0.903781:0.000000
a:@0.778341:0.908787:0.787610:0.908787:0.787610:0.892426:0.778341:0.892426:0.000000
b:@0.811160:0.908787:0.820429:0.908787:0.820429:0.892426:0.811160:0.892426:0.000000
a:@0.777235:0.931732:0.786504:0.931732:0.786504:0.915370:0.777235:0.915370:0.000000
b:@0.809999:0.931732:0.819268:0.931732:0.819268:0.915370:0.809999:0.915370:0.000000
k:@0.839631:0.920142:0.847205:0.920142:0.847205:0.903781:0.839631:0.903781:0.000000
i:@0.938164:0.920142:0.941960:0.920142:0.941960:0.903781:0.938164:0.903781:0.000000
n:@0.487571:0.961204:0.497080:0.961204:0.497080:0.944843:0.487571:0.944843:0.000000
a b:@0.515692:0.961204:0.550980:0.961204:0.550980:0.944843:0.515692:0.944843:0.000000:0.000000:0.000000
i:@0.580870:0.961204:0.584666:0.961204:0.584666:0.944843:0.580870:0.944843:0.000000
j:@0.613690:0.961204:0.617320:0.961204:0.617320:0.944843:0.613690:0.944843:0.000000
k:@0.643119:0.961204:0.650692:0.961204:0.650692:0.944843:0.643119:0.944843:0.000000
=:@0.501244:0.860547:0.511361:0.860547:0.511361:0.844974:0.501244:0.844974:0.000000
=:@0.595207:0.860547:0.605324:0.860547:0.605324:0.844974:0.595207:0.844974:0.000000
×:@0.500194:0.884086:0.510311:0.884086:0.510311:0.868513:0.500194:0.868513:0.000000
=× =:@0.500876:0.920820:0.565483:0.920820:0.565483:0.905247:0.500876:0.905247:0.000000:0.000000:0.000000:0.000000
−:@0.651964:0.920820:0.662081:0.920820:0.662081:0.905247:0.651964:0.905247:0.000000
+:@0.750957:0.920820:0.761074:0.920820:0.761074:0.905247:0.750957:0.905247:0.000000
=:@0.852567:0.920820:0.862684:0.920820:0.862684:0.905247:0.852567:0.905247:0.000000
−:@0.946180:0.920820:0.956296:0.920820:0.956296:0.905247:0.946180:0.905247:0.000000
=× =− −:@0.500876:0.961882:0.598984:0.961882:0.598984:0.946309:0.500876:0.946309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.621319:0.961882:0.631436:0.961882:0.631436:0.946309:0.621319:0.946309:0.000000
= −−−:@0.656036:0.961882:0.735847:0.961882:0.735847:0.946309:0.656036:0.946309:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.515673:0.860658:0.521810:0.860658:0.521810:0.842485:0.515673:0.842485:0.000000
),:@0.563622:0.860658:0.573997:0.860658:0.573997:0.842485:0.563622:0.842485:0.000000:0.000000
(:@0.609654:0.860658:0.615790:0.860658:0.615790:0.842485:0.609654:0.842485:0.000000
):@0.661841:0.860658:0.667978:0.860658:0.667978:0.842485:0.661841:0.842485:0.000000
(:@0.670484:0.961992:0.676620:0.961992:0.676620:0.943819:0.670484:0.943819:0.000000
):@0.744397:0.961992:0.750533:0.961992:0.750533:0.943819:0.744397:0.943819:0.000000
1,–2,1:@0.521017:0.859869:0.566183:0.859869:0.566183:0.843480:0.521017:0.843480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,1,0:@0.616509:0.859869:0.661307:0.859869:0.661307:0.843480:0.616509:0.843480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 1:@0.879877:0.913227:0.924785:0.913227:0.924785:0.896838:0.879877:0.896838:0.000000:0.000000:0.000000:0.000000
1:@0.885110:0.931732:0.894103:0.931732:0.894103:0.915343:0.885110:0.915343:0.000000
0:@0.914797:0.931732:0.923790:0.931732:0.923790:0.915343:0.914797:0.915343:0.000000
1:@0.977451:0.913227:0.986444:0.913227:0.986444:0.896838:0.977451:0.896838:0.000000
–3 0:@0.972421:0.931732:1.015910:0.931732:1.015910:0.915343:0.972421:0.915343:0.000000:0.000000:0.000000:0.000000
3:@0.602228:0.961204:0.611220:0.961204:0.611220:0.944815:0.602228:0.944815:0.000000
5:@0.634679:0.961204:0.643671:0.961204:0.643671:0.944815:0.634679:0.944815:0.000000
1, 3, 5:@0.687253:0.961204:0.744600:0.961204:0.744600:0.944815:0.687253:0.944815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.591248:0.911763:0.596460:0.911763:0.596460:0.902265:0.591248:0.902265:0.000000
1:@0.623287:0.911763:0.628499:0.911763:0.628499:0.902265:0.623287:0.902265:0.000000
2:@0.590832:0.934711:0.596043:0.934711:0.596043:0.925213:0.590832:0.925213:0.000000
2:@0.622817:0.934711:0.628029:0.934711:0.628029:0.925213:0.622817:0.925213:0.000000
1:@0.687579:0.911763:0.692790:0.911763:0.692790:0.902265:0.687579:0.902265:0.000000
1:@0.719618:0.911763:0.724829:0.911763:0.724829:0.902265:0.719618:0.902265:0.000000
2:@0.687162:0.934711:0.692374:0.934711:0.692374:0.925213:0.687162:0.925213:0.000000
2:@0.719148:0.934711:0.724359:0.934711:0.724359:0.925213:0.719148:0.925213:0.000000
1:@0.786579:0.911763:0.791791:0.911763:0.791791:0.902265:0.786579:0.902265:0.000000
1:@0.818981:0.911763:0.824193:0.911763:0.824193:0.902265:0.818981:0.902265:0.000000
2:@0.786163:0.934711:0.791374:0.934711:0.791374:0.925213:0.786163:0.925213:0.000000
2:@0.818511:0.934711:0.823723:0.934711:0.823723:0.925213:0.818511:0.925213:0.000000
.:@0.528026:0.883214:0.531841:0.883214:0.531841:0.866590:0.528026:0.866590:0.000000
a) :@0.148491:0.910459:0.167213:0.910459:0.167213:0.893559:0.148491:0.893559:0.000000:0.000000:0.000000
a:@0.181734:0.910971:0.191003:0.910971:0.191003:0.894610:0.181734:0.894610:0.000000
 =  2, 1, 0 ,    =  –1, –3, 0:@0.191087:0.910458:0.369582:0.910458:0.369582:0.894069:0.191087:0.894069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.210141:0.911136:0.216278:0.911136:0.216278:0.895563:0.210141:0.895563:0.000000
):@0.257740:0.911136:0.263876:0.911136:0.263876:0.895563:0.257740:0.895563:0.000000
b:@0.275154:0.910970:0.284423:0.910970:0.284423:0.894609:0.275154:0.894609:0.000000
(:@0.303556:0.911136:0.309692:0.911136:0.309692:0.895563:0.303556:0.895563:0.000000
):@0.369582:0.911136:0.375719:0.911136:0.375719:0.895563:0.369582:0.895563:0.000000
Producto vectorial:@0.300219:0.166753:0.433382:0.166753:0.433382:0.151389:0.300219:0.151389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regla de la mano derecha:@0.656073:0.166753:0.841971:0.166753:0.841971:0.151389:0.656073:0.151389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean   =  1 1 1:@0.122375:0.191585:0.237330:0.191582:0.237330:0.176683:0.122375:0.176686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.158611:0.191623:0.167037:0.191623:0.167037:0.176749:0.158611:0.176749:0.000000
(:@0.185281:0.192199:0.190859:0.192199:0.190859:0.178041:0.185281:0.178041:0.000000
a , b , c ,  b:@0.190859:0.191582:0.261571:0.191620:0.261571:0.176746:0.190859:0.176709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)  :@0.237330:0.192199:0.253145:0.192199:0.253145:0.178041:0.237330:0.178041:0.000000:0.000000:0.000000
 =  2 2 2:@0.262494:0.191582:0.335685:0.191582:0.335685:0.176683:0.262494:0.176683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.279816:0.192199:0.285395:0.192199:0.285395:0.178041:0.279816:0.178041:0.000000
a , b , c:@0.285395:0.191582:0.330894:0.191582:0.330894:0.176709:0.285395:0.176709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.335685:0.192199:0.341264:0.192199:0.341264:0.178041:0.335685:0.178041:0.000000
 :@0.193659:0.206959:0.197327:0.206959:0.197327:0.192060:0.193659:0.192060:0.000000
=× =:@0.211775:0.223148:0.270240:0.223148:0.270240:0.208991:0.211775:0.208991:0.000000:0.000000:0.000000:0.000000
−:@0.349513:0.223148:0.358710:0.223148:0.358710:0.208991:0.349513:0.208991:0.000000
+:@0.440143:0.223148:0.449340:0.223148:0.449340:0.208991:0.440143:0.208991:0.000000
⊥:@0.221146:0.280394:0.232169:0.280394:0.232169:0.266237:0.221146:0.266237:0.000000
⊥:@0.220777:0.301530:0.231800:0.301530:0.231800:0.287372:0.220777:0.287372:0.000000
⊥:@0.212133:0.342505:0.223156:0.342505:0.223156:0.328348:0.212133:0.328348:0.000000
=:@0.221816:0.383481:0.231013:0.383481:0.231013:0.369323:0.221816:0.369323:0.000000
1:@0.293757:0.214881:0.298484:0.214881:0.298484:0.206267:0.293757:0.206267:0.000000
1:@0.323025:0.214881:0.327751:0.214881:0.327751:0.206267:0.323025:0.206267:0.000000
2:@0.293341:0.235822:0.298067:0.235822:0.298067:0.227208:0.293341:0.227208:0.000000
2:@0.322609:0.235822:0.327335:0.235822:0.327335:0.227208:0.322609:0.227208:0.000000
1:@0.381968:0.214881:0.386694:0.214881:0.386694:0.206267:0.381968:0.206267:0.000000
1:@0.411235:0.214881:0.415962:0.214881:0.415962:0.206267:0.411235:0.206267:0.000000
2:@0.381551:0.235822:0.386277:0.235822:0.386277:0.227208:0.381551:0.227208:0.000000
2:@0.410819:0.235822:0.415545:0.235822:0.415545:0.227208:0.410819:0.227208:0.000000
1:@0.472589:0.214881:0.477315:0.214881:0.477315:0.206267:0.472589:0.206267:0.000000
1:@0.502118:0.214881:0.506845:0.214881:0.506845:0.206267:0.502118:0.206267:0.000000
2:@0.472173:0.235822:0.476899:0.235822:0.476899:0.227208:0.472173:0.227208:0.000000
2:@0.501702:0.235822:0.506428:0.235822:0.506428:0.227208:0.501702:0.227208:0.000000
n:@0.199735:0.222532:0.208379:0.222532:0.208379:0.207658:0.199735:0.207658:0.000000
a b:@0.225232:0.222532:0.257061:0.222532:0.257061:0.207658:0.225232:0.207658:0.000000:0.000000:0.000000
b:@0.286696:0.212159:0.295123:0.212159:0.295123:0.197286:0.286696:0.197286:0.000000
c:@0.316583:0.212159:0.323552:0.212159:0.323552:0.197286:0.316583:0.197286:0.000000
b:@0.285658:0.233106:0.294084:0.233106:0.294084:0.218232:0.285658:0.218232:0.000000
c:@0.315544:0.233106:0.322513:0.233106:0.322513:0.218232:0.315544:0.218232:0.000000
i:@0.342348:0.222532:0.345799:0.222532:0.345799:0.207658:0.342348:0.207658:0.000000
a:@0.374496:0.212159:0.382922:0.212159:0.382922:0.197286:0.374496:0.197286:0.000000
c:@0.404801:0.212159:0.411770:0.212159:0.411770:0.197286:0.404801:0.197286:0.000000
a:@0.373457:0.233106:0.381883:0.233106:0.381883:0.218232:0.373457:0.218232:0.000000
c:@0.403762:0.233106:0.410731:0.233106:0.410731:0.218232:0.403762:0.218232:0.000000
j:@0.433347:0.222532:0.436647:0.222532:0.436647:0.207658:0.433347:0.207658:0.000000
a:@0.465126:0.212159:0.473553:0.212159:0.473553:0.197286:0.465126:0.197286:0.000000
b:@0.495079:0.212159:0.503506:0.212159:0.503506:0.197286:0.495079:0.197286:0.000000
a:@0.464087:0.233106:0.472514:0.233106:0.472514:0.218232:0.464087:0.218232:0.000000
b:@0.494041:0.233106:0.502467:0.233106:0.502467:0.218232:0.494041:0.218232:0.000000
k:@0.521464:0.222532:0.528350:0.222532:0.528350:0.207658:0.521464:0.207658:0.000000
a:@0.208739:0.279778:0.217166:0.279778:0.217166:0.264905:0.208739:0.264905:0.000000
n:@0.236699:0.279778:0.245343:0.279778:0.245343:0.264905:0.236699:0.264905:0.000000
b:@0.208371:0.300914:0.216797:0.300914:0.216797:0.286040:0.208371:0.286040:0.000000
n:@0.236330:0.300914:0.244974:0.300914:0.244974:0.286040:0.236330:0.286040:0.000000
a:@0.199726:0.341889:0.208153:0.341889:0.208153:0.327015:0.199726:0.327015:0.000000
b:@0.227317:0.341889:0.235744:0.341889:0.235744:0.327015:0.227317:0.327015:0.000000
n:@0.204752:0.382864:0.213396:0.382864:0.213396:0.367991:0.204752:0.367991:0.000000
a b:@0.240301:0.382864:0.269249:0.382864:0.269249:0.367991:0.240301:0.367991:0.000000:0.000000:0.000000
:@0.200257:0.210831:0.181478:0.210831:0.181478:0.195605:0.200257:0.195605:0.000000
:@0.225905:0.210831:0.207126:0.210831:0.207126:0.195605:0.225905:0.195605:0.000000
:@0.249526:0.210831:0.164776:0.210831:0.164776:0.195605:0.249526:0.195605:0.000000
:@0.341145:0.210831:0.256395:0.210831:0.256395:0.195605:0.341145:0.195605:0.000000
:@0.430551:0.210831:0.346018:0.210831:0.346018:0.195605:0.430551:0.195605:0.000000
:@0.521952:0.210831:0.437419:0.210831:0.437419:0.195605:0.521952:0.195605:0.000000
:@0.209419:0.268075:0.188495:0.268075:0.188495:0.252850:0.209419:0.252850:0.000000
:@0.237211:0.268075:0.216288:0.268075:0.216288:0.252850:0.237211:0.252850:0.000000
:@0.209268:0.289211:0.188546:0.289211:0.188546:0.273985:0.209268:0.273985:0.000000
:@0.236860:0.289211:0.216137:0.289211:0.216137:0.273985:0.236860:0.273985:0.000000
:@0.200423:0.330186:0.179499:0.330186:0.179499:0.314960:0.200423:0.314960:0.000000
:@0.228215:0.330186:0.207292:0.330186:0.207292:0.314960:0.228215:0.314960:0.000000
:@0.205298:0.371162:0.176467:0.371162:0.176467:0.355936:0.205298:0.355936:0.000000
:@0.240997:0.371162:0.212167:0.371162:0.212167:0.355936:0.240997:0.355936:0.000000
:@0.261737:0.371162:0.268605:0.371162:0.268605:0.355936:0.261737:0.355936:0.000000
El producto vectorial es tal que, :@0.122374:0.272275:0.334757:0.272275:0.334757:0.257376:0.122374:0.257376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= × =:@0.348948:0.205888:0.407412:0.205888:0.407412:0.189505:0.348948:0.189505:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.486686:0.205888:0.495884:0.205888:0.495884:0.189505:0.486686:0.189505:0.000000
+:@0.577300:0.205888:0.586497:0.205888:0.586497:0.189505:0.577300:0.189505:0.000000
⊥:@0.358320:0.263134:0.369343:0.263134:0.369343:0.246752:0.358320:0.246752:0.000000
⊥:@0.357953:0.284272:0.368976:0.284272:0.368976:0.267889:0.357953:0.267889:0.000000
⎧:@0.337230:0.260383:0.345506:0.260383:0.345506:0.244001:0.337230:0.244001:0.000000
⎨:@0.337222:0.273742:0.345497:0.273742:0.345497:0.257359:0.337222:0.257359:0.000000
⎪:@0.337222:0.264199:0.345497:0.264199:0.345497:0.247817:0.337222:0.247817:0.000000
⎩ ⎪:@0.337222:0.287061:0.345497:0.284936:0.345497:0.268553:0.337222:0.270678:0.000000:0.000000:0.000000
⊥:@0.349317:0.325245:0.360340:0.325245:0.360340:0.308862:0.349317:0.308862:0.000000
=:@0.359000:0.366220:0.368197:0.366220:0.368197:0.349838:0.359000:0.349838:0.000000
1:@0.430929:0.197696:0.435656:0.197696:0.435656:0.189082:0.430929:0.189082:0.000000
1:@0.460197:0.197696:0.464923:0.197696:0.464923:0.189082:0.460197:0.189082:0.000000
2:@0.430513:0.218637:0.435239:0.218637:0.435239:0.210024:0.430513:0.210024:0.000000
2:@0.459781:0.218637:0.464507:0.218637:0.464507:0.210024:0.459781:0.210024:0.000000
1:@0.519140:0.197696:0.523866:0.197696:0.523866:0.189082:0.519140:0.189082:0.000000
1:@0.548407:0.197696:0.553133:0.197696:0.553133:0.189082:0.548407:0.189082:0.000000
2:@0.518723:0.218637:0.523449:0.218637:0.523449:0.210024:0.518723:0.210024:0.000000
2:@0.547991:0.218637:0.552717:0.218637:0.552717:0.210024:0.547991:0.210024:0.000000
1:@0.609761:0.197696:0.614487:0.197696:0.614487:0.189082:0.609761:0.189082:0.000000
1:@0.639290:0.197696:0.644017:0.197696:0.644017:0.189082:0.639290:0.189082:0.000000
2:@0.609345:0.218637:0.614071:0.218637:0.614071:0.210024:0.609345:0.210024:0.000000
2:@0.638874:0.218637:0.643600:0.218637:0.643600:0.210024:0.638874:0.210024:0.000000
n:@0.336907:0.205347:0.345551:0.205347:0.345551:0.190474:0.336907:0.190474:0.000000
ab:@0.362402:0.205347:0.394232:0.205347:0.394232:0.190474:0.362402:0.190474:0.000000:0.000000
b:@0.423868:0.194975:0.432295:0.194975:0.432295:0.180101:0.423868:0.180101:0.000000
c:@0.453755:0.194975:0.460724:0.194975:0.460724:0.180101:0.453755:0.180101:0.000000
b:@0.422830:0.215921:0.431256:0.215921:0.431256:0.201047:0.422830:0.201047:0.000000
c:@0.452716:0.215921:0.459685:0.215921:0.459685:0.201047:0.452716:0.201047:0.000000
i:@0.479520:0.205347:0.482971:0.205347:0.482971:0.190474:0.479520:0.190474:0.000000
a:@0.511668:0.194975:0.520094:0.194975:0.520094:0.180101:0.511668:0.180101:0.000000
c:@0.541973:0.194975:0.548942:0.194975:0.548942:0.180101:0.541973:0.180101:0.000000
a:@0.510629:0.215921:0.519055:0.215921:0.519055:0.201047:0.510629:0.201047:0.000000
c:@0.540934:0.215921:0.547903:0.215921:0.547903:0.201047:0.540934:0.201047:0.000000
j:@0.570519:0.205347:0.573819:0.205347:0.573819:0.190474:0.570519:0.190474:0.000000
a:@0.602298:0.194975:0.610725:0.194975:0.610725:0.180101:0.602298:0.180101:0.000000
b:@0.632243:0.194975:0.640669:0.194975:0.640669:0.180101:0.632243:0.180101:0.000000
a:@0.601259:0.215921:0.609686:0.215921:0.609686:0.201047:0.601259:0.201047:0.000000
b:@0.631204:0.215921:0.639631:0.215921:0.639631:0.201047:0.631204:0.201047:0.000000
k:@0.658636:0.205347:0.665522:0.205347:0.665522:0.190474:0.658636:0.190474:0.000000
a:@0.345936:0.262592:0.354363:0.262592:0.354363:0.247718:0.345936:0.247718:0.000000
n:@0.373896:0.262592:0.382540:0.262592:0.382540:0.247718:0.373896:0.247718:0.000000
b:@0.345568:0.283728:0.353994:0.283728:0.353994:0.268854:0.345568:0.268854:0.000000
n:@0.373527:0.283728:0.382172:0.283728:0.382172:0.268854:0.373527:0.268854:0.000000
a:@0.336923:0.324703:0.345350:0.324703:0.345350:0.309829:0.336923:0.309829:0.000000
b:@0.364515:0.324703:0.372941:0.324703:0.372941:0.309829:0.364515:0.309829:0.000000
n:@0.341949:0.365678:0.350593:0.365678:0.350593:0.350805:0.341949:0.350805:0.000000
ab:@0.377496:0.365678:0.406444:0.365678:0.406444:0.350805:0.377496:0.350805:0.000000:0.000000
:@0.337443:0.193629:0.344311:0.193629:0.344311:0.178403:0.337443:0.178403:0.000000
 :@0.363094:0.193629:0.376871:0.192851:0.376871:0.177625:0.363094:0.178403:0.000000:0.000000:0.000000:0.000000
:@0.478314:0.193629:0.485182:0.193629:0.485182:0.178403:0.478314:0.178403:0.000000
:@0.567731:0.193629:0.574600:0.193629:0.574600:0.178403:0.567731:0.178403:0.000000
:@0.659137:0.193629:0.666006:0.193629:0.666006:0.178403:0.659137:0.178403:0.000000
:@0.346606:0.250874:0.325683:0.250874:0.325683:0.235648:0.346606:0.235648:0.000000
:@0.374398:0.250874:0.353475:0.250874:0.353475:0.235648:0.374398:0.235648:0.000000
:@0.346455:0.272010:0.325733:0.272010:0.325733:0.256784:0.346455:0.256784:0.000000
:@0.374047:0.272010:0.353324:0.272010:0.353324:0.256784:0.374047:0.256784:0.000000
:@0.337610:0.312985:0.316686:0.312985:0.316686:0.297759:0.337610:0.297759:0.000000
:@0.365402:0.312985:0.344479:0.312985:0.344479:0.297759:0.365402:0.297759:0.000000
:@0.342485:0.353960:0.349354:0.353960:0.349354:0.338734:0.342485:0.338734:0.000000
 :@0.378190:0.353960:0.405789:0.353960:0.405789:0.338734:0.378190:0.338734:0.000000:0.000000:0.000000
=× =:@0.280103:0.188883:0.338568:0.188883:0.338568:0.174726:0.280103:0.174726:0.000000:0.000000:0.000000:0.000000
−:@0.417841:0.188883:0.427038:0.188883:0.427038:0.174726:0.417841:0.174726:0.000000
+:@0.508471:0.188883:0.517668:0.188883:0.517668:0.174726:0.508471:0.174726:0.000000
⊥:@0.289484:0.246128:0.300507:0.246128:0.300507:0.231971:0.289484:0.231971:0.000000
⊥:@0.289115:0.267263:0.300138:0.267263:0.300138:0.253106:0.289115:0.253106:0.000000
⊥:@0.280471:0.308239:0.291494:0.308239:0.291494:0.294081:0.280471:0.294081:0.000000
=:@0.290154:0.349214:0.299351:0.349214:0.299351:0.335057:0.290154:0.335057:0.000000
1:@0.362084:0.180615:0.366810:0.180615:0.366810:0.172002:0.362084:0.172002:0.000000
1:@0.391352:0.180615:0.396078:0.180615:0.396078:0.172002:0.391352:0.172002:0.000000
2:@0.361667:0.201557:0.366394:0.201557:0.366394:0.192943:0.361667:0.192943:0.000000
2:@0.390935:0.201557:0.395661:0.201557:0.395661:0.192943:0.390935:0.192943:0.000000
1:@0.450294:0.180615:0.455020:0.180615:0.455020:0.172002:0.450294:0.172002:0.000000
1:@0.479562:0.180615:0.484288:0.180615:0.484288:0.172002:0.479562:0.172002:0.000000
2:@0.449877:0.201557:0.454604:0.201557:0.454604:0.192943:0.449877:0.192943:0.000000
2:@0.479145:0.201557:0.483871:0.201557:0.483871:0.192943:0.479145:0.192943:0.000000
1:@0.540915:0.180615:0.545642:0.180615:0.545642:0.172002:0.540915:0.172002:0.000000
1:@0.570445:0.180615:0.575171:0.180615:0.575171:0.172002:0.570445:0.172002:0.000000
2:@0.540499:0.201557:0.545225:0.201557:0.545225:0.192943:0.540499:0.192943:0.000000
2:@0.570028:0.201557:0.574754:0.201557:0.574754:0.192943:0.570028:0.192943:0.000000
n:@0.268061:0.188267:0.276705:0.188267:0.276705:0.173393:0.268061:0.173393:0.000000
a b:@0.293558:0.188267:0.325388:0.188267:0.325388:0.173393:0.293558:0.173393:0.000000:0.000000:0.000000
b:@0.355023:0.177894:0.363449:0.177894:0.363449:0.163020:0.355023:0.163020:0.000000
c:@0.384909:0.177894:0.391878:0.177894:0.391878:0.163020:0.384909:0.163020:0.000000
b:@0.353984:0.198841:0.362410:0.198841:0.362410:0.183967:0.353984:0.183967:0.000000
c:@0.383870:0.198841:0.390839:0.198841:0.390839:0.183967:0.383870:0.183967:0.000000
i:@0.410674:0.188267:0.414125:0.188267:0.414125:0.173393:0.410674:0.173393:0.000000
a:@0.442822:0.177894:0.451248:0.177894:0.451248:0.163020:0.442822:0.163020:0.000000
c:@0.473127:0.177894:0.480096:0.177894:0.480096:0.163020:0.473127:0.163020:0.000000
a:@0.441783:0.198841:0.450210:0.198841:0.450210:0.183967:0.441783:0.183967:0.000000
c:@0.472088:0.198841:0.479057:0.198841:0.479057:0.183967:0.472088:0.183967:0.000000
j:@0.501673:0.188267:0.504973:0.188267:0.504973:0.173393:0.501673:0.173393:0.000000
a:@0.533452:0.177894:0.541879:0.177894:0.541879:0.163020:0.533452:0.163020:0.000000
b:@0.563406:0.177894:0.571832:0.177894:0.571832:0.163020:0.563406:0.163020:0.000000
a:@0.532414:0.198841:0.540840:0.198841:0.540840:0.183967:0.532414:0.183967:0.000000
b:@0.562367:0.198841:0.570794:0.198841:0.570794:0.183967:0.562367:0.183967:0.000000
k:@0.589791:0.188267:0.596676:0.188267:0.596676:0.173393:0.589791:0.173393:0.000000
a:@0.277091:0.245512:0.285517:0.245512:0.285517:0.230638:0.277091:0.230638:0.000000
n:@0.305050:0.245512:0.313694:0.245512:0.313694:0.230638:0.305050:0.230638:0.000000
b:@0.276722:0.266647:0.285148:0.266647:0.285148:0.251773:0.276722:0.251773:0.000000
n:@0.304682:0.266647:0.313326:0.266647:0.313326:0.251773:0.304682:0.251773:0.000000
a:@0.268078:0.307623:0.276504:0.307623:0.276504:0.292749:0.268078:0.292749:0.000000
b:@0.295669:0.307623:0.304095:0.307623:0.304095:0.292749:0.295669:0.292749:0.000000
n:@0.273103:0.348598:0.281748:0.348598:0.281748:0.333724:0.273103:0.333724:0.000000
a b:@0.308652:0.348598:0.337600:0.348598:0.337600:0.333724:0.308652:0.333724:0.000000:0.000000:0.000000
:@0.268597:0.176549:0.249818:0.176549:0.249818:0.161323:0.268597:0.161323:0.000000
:@0.294245:0.176549:0.275466:0.176549:0.275466:0.161323:0.294245:0.161323:0.000000
:@0.317866:0.176549:0.233115:0.176549:0.233115:0.161323:0.317866:0.161323:0.000000
:@0.409485:0.176549:0.324734:0.176549:0.324734:0.161323:0.409485:0.161323:0.000000
:@0.498892:0.176549:0.414360:0.176549:0.414360:0.161323:0.498892:0.161323:0.000000
:@0.590293:0.176549:0.505761:0.176549:0.505761:0.161323:0.590293:0.161323:0.000000
:@0.277761:0.233794:0.256837:0.233794:0.256837:0.218568:0.277761:0.218568:0.000000
:@0.305553:0.233794:0.284629:0.233794:0.284629:0.218568:0.305553:0.218568:0.000000
:@0.277610:0.254929:0.256887:0.254929:0.256887:0.239703:0.277610:0.239703:0.000000
:@0.305201:0.254929:0.284478:0.254929:0.284478:0.239703:0.305201:0.239703:0.000000
:@0.268765:0.295905:0.247841:0.295905:0.247841:0.280679:0.268765:0.280679:0.000000
:@0.296557:0.295905:0.275633:0.295905:0.275633:0.280679:0.296557:0.280679:0.000000
:@0.273640:0.336880:0.244809:0.336880:0.244809:0.321654:0.273640:0.321654:0.000000
:@0.309339:0.336880:0.280508:0.336880:0.280508:0.321654:0.309339:0.321654:0.000000
:@0.330078:0.336880:0.336947:0.336880:0.336947:0.321654:0.330078:0.321654:0.000000
si y solo si, :@0.310815:0.306886:0.382900:0.306886:0.382900:0.291987:0.310815:0.291987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=× =:@0.400149:0.147925:0.458614:0.147925:0.458614:0.133768:0.400149:0.133768:0.000000:0.000000:0.000000:0.000000
−:@0.537887:0.147925:0.547084:0.147925:0.547084:0.133768:0.537887:0.133768:0.000000
+:@0.628517:0.147925:0.637714:0.147925:0.637714:0.133768:0.628517:0.133768:0.000000
⊥:@0.409530:0.205170:0.420553:0.205170:0.420553:0.191013:0.409530:0.191013:0.000000
⊥:@0.409161:0.226305:0.420184:0.226305:0.420184:0.212148:0.409161:0.212148:0.000000
⊥:@0.400517:0.267281:0.411540:0.267281:0.411540:0.253124:0.400517:0.253124:0.000000
=:@0.410200:0.308270:0.419397:0.308270:0.419397:0.294113:0.410200:0.294113:0.000000
1:@0.482130:0.139658:0.486856:0.139658:0.486856:0.131044:0.482130:0.131044:0.000000
1:@0.511398:0.139658:0.516124:0.139658:0.516124:0.131044:0.511398:0.131044:0.000000
2:@0.481713:0.160599:0.486440:0.160599:0.486440:0.151985:0.481713:0.151985:0.000000
2:@0.510981:0.160599:0.515707:0.160599:0.515707:0.151985:0.510981:0.151985:0.000000
1:@0.570340:0.139658:0.575066:0.139658:0.575066:0.131044:0.570340:0.131044:0.000000
1:@0.599608:0.139658:0.604334:0.139658:0.604334:0.131044:0.599608:0.131044:0.000000
2:@0.569923:0.160599:0.574650:0.160599:0.574650:0.151985:0.569923:0.151985:0.000000
2:@0.599191:0.160599:0.603917:0.160599:0.603917:0.151985:0.599191:0.151985:0.000000
1:@0.660961:0.139658:0.665688:0.139658:0.665688:0.131044:0.660961:0.131044:0.000000
1:@0.690491:0.139658:0.695217:0.139658:0.695217:0.131044:0.690491:0.131044:0.000000
2:@0.660545:0.160599:0.665271:0.160599:0.665271:0.151985:0.660545:0.151985:0.000000
2:@0.690074:0.160599:0.694800:0.160599:0.694800:0.151985:0.690074:0.151985:0.000000
n:@0.388107:0.147309:0.396751:0.147309:0.396751:0.132435:0.388107:0.132435:0.000000
a b:@0.413604:0.147309:0.445434:0.147309:0.445434:0.132435:0.413604:0.132435:0.000000:0.000000:0.000000
b:@0.475069:0.136936:0.483495:0.136936:0.483495:0.122063:0.475069:0.122063:0.000000
c:@0.504955:0.136936:0.511924:0.136936:0.511924:0.122063:0.504955:0.122063:0.000000
b:@0.474030:0.157883:0.482456:0.157883:0.482456:0.143009:0.474030:0.143009:0.000000
c:@0.503916:0.157883:0.510885:0.157883:0.510885:0.143009:0.503916:0.143009:0.000000
i:@0.530720:0.147309:0.534171:0.147309:0.534171:0.132435:0.530720:0.132435:0.000000
a:@0.562868:0.136936:0.571294:0.136936:0.571294:0.122063:0.562868:0.122063:0.000000
c:@0.593173:0.136936:0.600142:0.136936:0.600142:0.122063:0.593173:0.122063:0.000000
a:@0.561829:0.157883:0.570256:0.157883:0.570256:0.143009:0.561829:0.143009:0.000000
c:@0.592134:0.157883:0.599103:0.157883:0.599103:0.143009:0.592134:0.143009:0.000000
j:@0.621719:0.147309:0.625019:0.147309:0.625019:0.132435:0.621719:0.132435:0.000000
a:@0.653498:0.136936:0.661925:0.136936:0.661925:0.122063:0.653498:0.122063:0.000000
b:@0.683452:0.136936:0.691878:0.136936:0.691878:0.122063:0.683452:0.122063:0.000000
a:@0.652460:0.157883:0.660886:0.157883:0.660886:0.143009:0.652460:0.143009:0.000000
b:@0.682413:0.157883:0.690840:0.157883:0.690840:0.143009:0.682413:0.143009:0.000000
k:@0.709837:0.147309:0.716722:0.147309:0.716722:0.132435:0.709837:0.132435:0.000000
a:@0.397137:0.204554:0.405563:0.204554:0.405563:0.189680:0.397137:0.189680:0.000000
n:@0.425096:0.204554:0.433741:0.204554:0.433741:0.189680:0.425096:0.189680:0.000000
b:@0.396768:0.225689:0.405194:0.225689:0.405194:0.210815:0.396768:0.210815:0.000000
n:@0.424728:0.225689:0.433372:0.225689:0.433372:0.210815:0.424728:0.210815:0.000000
a:@0.388124:0.266665:0.396550:0.266665:0.396550:0.251791:0.388124:0.251791:0.000000
b:@0.415715:0.266665:0.424141:0.266665:0.424141:0.251791:0.415715:0.251791:0.000000
n:@0.393133:0.307654:0.401777:0.307654:0.401777:0.292780:0.393133:0.292780:0.000000
a b:@0.428681:0.307654:0.457629:0.307654:0.457629:0.292780:0.428681:0.292780:0.000000:0.000000:0.000000
:@0.388631:0.135606:0.369852:0.135606:0.369852:0.120380:0.388631:0.120380:0.000000
:@0.414279:0.135606:0.395500:0.135606:0.395500:0.120380:0.414279:0.120380:0.000000
:@0.437900:0.135606:0.353150:0.135606:0.353150:0.120380:0.437900:0.120380:0.000000
:@0.529519:0.135606:0.444769:0.135606:0.444769:0.120380:0.529519:0.120380:0.000000
:@0.618927:0.135606:0.534394:0.135606:0.534394:0.120380:0.618927:0.120380:0.000000
:@0.710328:0.135606:0.625795:0.135606:0.625795:0.120380:0.710328:0.120380:0.000000
:@0.425587:0.192851:0.404663:0.192851:0.404663:0.177625:0.425587:0.177625:0.000000
:@0.397644:0.213986:0.376921:0.213986:0.376921:0.198760:0.397644:0.198760:0.000000
:@0.425235:0.213986:0.404513:0.213986:0.404513:0.198760:0.425235:0.198760:0.000000
:@0.388799:0.254962:0.367875:0.254962:0.367875:0.239736:0.388799:0.239736:0.000000
:@0.416591:0.254962:0.395667:0.254962:0.395667:0.239736:0.416591:0.239736:0.000000
:@0.393674:0.295937:0.364843:0.295937:0.364843:0.280711:0.393674:0.280711:0.000000
:@0.429373:0.295937:0.400542:0.295937:0.400542:0.280711:0.429373:0.280711:0.000000
:@0.450113:0.295937:0.456981:0.295937:0.456981:0.280711:0.450113:0.280711:0.000000
El producto vectorial, denominado :@0.624631:0.186991:0.859816:0.186991:0.859816:0.172092:0.624631:0.172092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también producto cruz, tiene muchas  :@0.624631:0.202078:0.877089:0.202078:0.877089:0.187179:0.624631:0.187179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones en la física, :@0.624631:0.217166:0.785420:0.217166:0.785420:0.202267:0.624631:0.202267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
particularmente en situaciones :@0.624631:0.232254:0.834922:0.232254:0.834922:0.217355:0.624631:0.217355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prácticas de nuestra vida diaria.  :@0.624631:0.247341:0.840398:0.247341:0.840398:0.232442:0.624631:0.232442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si posicionas los dedos de la mano :@0.624631:0.262429:0.860052:0.262429:0.860052:0.247530:0.624631:0.247530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha con el vector   y rotas hacia :@0.624631:0.279780:0.873382:0.279780:0.873382:0.264881:0.624631:0.264881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.772685:0.280251:0.782375:0.280251:0.782375:0.263146:0.772685:0.263146:0.000000
:@0.776596:0.278299:0.783011:0.278299:0.783011:0.262481:0.776596:0.262481:0.000000
 :@0.777232:0.280251:0.781451:0.280251:0.781451:0.263117:0.777232:0.263117:0.000000
 :@0.781452:0.283559:0.783473:0.283559:0.783473:0.273587:0.781452:0.273587:0.000000
el vector  , el dedo pulgar mostrará :@0.624626:0.297130:0.865703:0.297130:0.865703:0.282231:0.624626:0.282231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.685809:0.297602:0.693900:0.297602:0.693900:0.280497:0.685809:0.280497:0.000000
:@0.688121:0.295650:0.694536:0.295650:0.694536:0.279832:0.688121:0.279832:0.000000
 :@0.688756:0.297602:0.692975:0.297602:0.692975:0.280468:0.688756:0.280468:0.000000
 :@0.692975:0.300910:0.694997:0.300910:0.694997:0.290938:0.692975:0.290938:0.000000
la dirección y sentido del vector :@0.624636:0.312218:0.840018:0.312218:0.840018:0.297319:0.624636:0.297319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
normal  . A esto se le conoce como :@0.624636:0.329569:0.868859:0.329569:0.868859:0.314670:0.624636:0.314670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.676126:0.330040:0.686067:0.330040:0.686067:0.312935:0.676126:0.312935:0.000000
:@0.680287:0.328088:0.686703:0.328088:0.686703:0.312270:0.680287:0.312270:0.000000
 :@0.680923:0.330040:0.685142:0.330040:0.685142:0.312906:0.680923:0.312906:0.000000
 :@0.685142:0.333348:0.687164:0.333348:0.687164:0.323376:0.685142:0.323376:0.000000
regla de la mano derecha. ¿Cómo :@0.624627:0.344656:0.851870:0.344656:0.851870:0.329757:0.624627:0.329757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saber el giro que debe realizarse para :@0.624627:0.359744:0.875625:0.359744:0.875625:0.344845:0.624627:0.344845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abrir la llave de agua o para sacar un :@0.624627:0.374832:0.869864:0.374832:0.869864:0.359933:0.624627:0.359933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tornillo? Simple. :@0.624627:0.389919:0.734555:0.389919:0.734555:0.375020:0.624627:0.375020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica:@0.734555:0.389919:0.777743:0.389919:0.777743:0.374806:0.734555:0.374806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la regla de la :@0.777743:0.389919:0.868792:0.389919:0.868792:0.375020:0.777743:0.375020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mano derecha.:@0.624627:0.405007:0.724604:0.405007:0.724604:0.390108:0.624627:0.390108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.770023:0.485357:0.774118:0.485357:0.774118:0.478715:0.770023:0.478715:0.000000
R:@0.732425:0.426130:0.736496:0.426130:0.736496:0.419282:0.732425:0.419282:0.000000
U:@0.800446:0.459339:0.805397:0.459339:0.805397:0.452490:0.800446:0.452490:0.000000
V:@0.800650:0.517014:0.805193:0.517014:0.805193:0.510166:0.800650:0.510166:0.000000
θ:@0.770817:0.562457:0.774912:0.562457:0.774912:0.555815:0.770817:0.555815:0.000000
– R:@0.727104:0.624922:0.737117:0.624922:0.737117:0.618074:0.727104:0.618074:0.000000:0.000000:0.000000
U:@0.799323:0.592752:0.804274:0.592752:0.804274:0.585904:0.799323:0.585904:0.000000
V:@0.799526:0.535790:0.804068:0.535790:0.804068:0.528942:0.799526:0.528942:0.000000
Planos perpendiculares :@0.251649:0.340478:0.424497:0.340478:0.424497:0.325114:0.251649:0.325114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏  ⊥ ∏:@0.424497:0.341094:0.476710:0.341094:0.476710:0.326937:0.424497:0.326937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.438289:0.343354:0.443524:0.343354:0.443524:0.334397:0.438289:0.334397:0.000000
2:@0.476717:0.343354:0.481952:0.343354:0.481952:0.334397:0.476717:0.334397:0.000000
Sean  ,, ,:@0.122374:0.367358:0.211572:0.367600:0.211572:0.352701:0.122374:0.352459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.228760:0.367600:0.250990:0.367600:0.250990:0.352701:0.228760:0.352701:0.000000:0.000000:0.000000
,:@0.173579:0.390192:0.176494:0.390192:0.176494:0.375293:0.173579:0.375293:0.000000
,:@0.175623:0.412786:0.178538:0.412786:0.178538:0.397887:0.175623:0.397887:0.000000
1:@0.169026:0.370321:0.173752:0.370321:0.173752:0.361707:0.169026:0.361707:0.000000
1:@0.186304:0.370321:0.191030:0.370321:0.191030:0.361707:0.186304:0.361707:0.000000
1:@0.203320:0.370321:0.208046:0.370321:0.208046:0.361707:0.203320:0.361707:0.000000
2:@0.222012:0.370321:0.226738:0.370321:0.226738:0.361707:0.222012:0.361707:0.000000
2:@0.241324:0.370321:0.246050:0.370321:0.246050:0.361707:0.241324:0.361707:0.000000
2:@0.260384:0.370321:0.265110:0.370321:0.265110:0.361707:0.260384:0.361707:0.000000
3:@0.295714:0.360617:0.300440:0.360617:0.300440:0.352004:0.295714:0.352004:0.000000
1:@0.168240:0.392912:0.172966:0.392912:0.172966:0.384299:0.168240:0.384299:0.000000
1:@0.185257:0.392912:0.189983:0.392912:0.189983:0.384299:0.185257:0.384299:0.000000
2:@0.168870:0.415503:0.173596:0.415503:0.173596:0.406890:0.168870:0.406890:0.000000
2:@0.187930:0.415503:0.192656:0.415503:0.192656:0.406890:0.187930:0.406890:0.000000
∈:@0.270168:0.368216:0.282113:0.368216:0.282113:0.354058:0.270168:0.354058:0.000000
ab ca bc:@0.161546:0.367600:0.260285:0.367600:0.260285:0.352726:0.161546:0.352726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.161172:0.390192:0.185782:0.390192:0.185782:0.375318:0.161172:0.375318:0.000000:0.000000
bc:@0.161172:0.412786:0.187825:0.412786:0.187825:0.397912:0.161172:0.397912:0.000000:0.000000
   :@0.161859:0.355893:0.266042:0.355893:0.266042:0.340667:0.161859:0.340667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.257499:0.355893:0.264367:0.355893:0.264367:0.340667:0.257499:0.340667:0.000000
:@0.282942:0.368392:0.295037:0.368392:0.295037:0.353166:0.282942:0.353166:0.000000
 :@0.161852:0.378489:0.189494:0.378489:0.189494:0.363263:0.161852:0.363263:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.161852:0.401083:0.193581:0.401083:0.193581:0.385857:0.161852:0.385857:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.185038:0.401083:0.191906:0.401083:0.191906:0.385857:0.185038:0.385857:0.000000
, tal que,  ,:@0.303444:0.367358:0.381381:0.367768:0.381381:0.352869:0.303444:0.352459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,, ,:@0.379252:0.345176:0.416459:0.345176:0.416459:0.330277:0.379252:0.330277:0.000000:0.000000:0.000000:0.000000
, ,:@0.433647:0.345176:0.455877:0.345176:0.455877:0.330277:0.433647:0.330277:0.000000:0.000000:0.000000
,:@0.380508:0.390359:0.383423:0.390359:0.383423:0.375460:0.380508:0.375460:0.000000
1:@0.373911:0.347897:0.378637:0.347897:0.378637:0.339283:0.373911:0.339283:0.000000
1:@0.391189:0.347897:0.395915:0.347897:0.395915:0.339283:0.391189:0.339283:0.000000
1:@0.408205:0.347897:0.412932:0.347897:0.412932:0.339283:0.408205:0.339283:0.000000
2:@0.426897:0.347897:0.431623:0.347897:0.431623:0.339283:0.426897:0.339283:0.000000
2:@0.446209:0.347897:0.450935:0.347897:0.450935:0.339283:0.446209:0.339283:0.000000
2:@0.465269:0.347897:0.469995:0.347897:0.469995:0.339283:0.465269:0.339283:0.000000
3:@0.500599:0.338193:0.505325:0.338193:0.505325:0.329580:0.500599:0.329580:0.000000
1:@0.373126:0.370488:0.377853:0.370488:0.377853:0.361874:0.373126:0.361874:0.000000
1:@0.390143:0.370488:0.394869:0.370488:0.394869:0.361874:0.390143:0.361874:0.000000
2 2:@0.373756:0.393079:0.376699:0.394274:0.376699:0.385661:0.373756:0.384466:0.000000:0.000000:0.000000
2 2:@0.392816:0.393079:0.407632:0.394274:0.407632:0.385661:0.392816:0.384466:0.000000:0.000000:0.000000
∈:@0.475054:0.345792:0.486998:0.345792:0.486998:0.331635:0.475054:0.331635:0.000000
ab ca bc:@0.366431:0.345176:0.465170:0.345176:0.465170:0.330302:0.366431:0.330302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.366062:0.367769:0.390672:0.367769:0.390672:0.352895:0.366062:0.352895:0.000000:0.000000
bc b:@0.366062:0.390363:0.403643:0.391552:0.403643:0.376679:0.366062:0.375489:0.000000:0.000000:0.000000:0.000000
   :@0.366749:0.333470:0.470932:0.333470:0.470932:0.318244:0.366749:0.318244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.462389:0.333470:0.469257:0.333470:0.469257:0.318244:0.462389:0.318244:0.000000
:@0.487836:0.345968:0.499931:0.345968:0.499931:0.330742:0.487836:0.330742:0.000000
 :@0.366749:0.356064:0.394391:0.356064:0.394391:0.340838:0.366749:0.340838:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.366749:0.378658:0.406910:0.379860:0.406910:0.364634:0.366749:0.363432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.389935:0.378658:0.396803:0.378658:0.396803:0.363432:0.389935:0.363432:0.000000
, no nulos y no colineales, :@0.398276:0.367358:0.571747:0.367358:0.571747:0.352459:0.398276:0.352459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,, ,:@0.588451:0.321907:0.625658:0.321907:0.625658:0.307008:0.588451:0.307008:0.000000:0.000000:0.000000:0.000000
, ,:@0.642846:0.321907:0.665076:0.321907:0.665076:0.307008:0.642846:0.307008:0.000000:0.000000:0.000000
,:@0.587663:0.344500:0.590578:0.344500:0.590578:0.329601:0.587663:0.329601:0.000000
,:@0.589707:0.367092:0.592622:0.367092:0.592622:0.352193:0.589707:0.352193:0.000000
1:@0.583110:0.324628:0.587836:0.324628:0.587836:0.316015:0.583110:0.316015:0.000000
1:@0.600388:0.324628:0.605114:0.324628:0.605114:0.316015:0.600388:0.316015:0.000000
1:@0.617404:0.324628:0.622130:0.324628:0.622130:0.316015:0.617404:0.316015:0.000000
2:@0.636096:0.324628:0.640822:0.324628:0.640822:0.316015:0.636096:0.316015:0.000000
2:@0.655408:0.324628:0.660134:0.324628:0.660134:0.316015:0.655408:0.316015:0.000000
2:@0.674468:0.324628:0.679194:0.324628:0.679194:0.316015:0.674468:0.316015:0.000000
3:@0.709798:0.314924:0.714524:0.314924:0.714524:0.306311:0.709798:0.306311:0.000000
1:@0.582325:0.347219:0.587052:0.347219:0.587052:0.338606:0.582325:0.338606:0.000000
1:@0.599342:0.347219:0.604068:0.347219:0.604068:0.338606:0.599342:0.338606:0.000000
2:@0.582955:0.369810:0.587681:0.369810:0.587681:0.361197:0.582955:0.361197:0.000000
2:@0.602015:0.369810:0.606741:0.369810:0.606741:0.361197:0.602015:0.361197:0.000000
∈:@0.684252:0.322523:0.696197:0.322523:0.696197:0.308366:0.684252:0.308366:0.000000
ab ca bc:@0.575630:0.321907:0.674369:0.321907:0.674369:0.307033:0.575630:0.307033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.575261:0.344500:0.599871:0.344500:0.599871:0.329627:0.575261:0.329627:0.000000:0.000000
bc:@0.575261:0.367094:0.601914:0.367094:0.601914:0.352220:0.575261:0.352220:0.000000:0.000000
   :@0.575948:0.310201:0.680131:0.310201:0.680131:0.294975:0.575948:0.294975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.671588:0.310201:0.678456:0.310201:0.678456:0.294975:0.671588:0.294975:0.000000
:@0.697035:0.322699:0.709130:0.322699:0.709130:0.307473:0.697035:0.307473:0.000000
 :@0.575948:0.332795:0.603590:0.332795:0.603590:0.317569:0.575948:0.317569:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.575948:0.355389:0.607677:0.355389:0.607677:0.340163:0.575948:0.340163:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.599134:0.355389:0.606002:0.355389:0.606002:0.340163:0.599134:0.340163:0.000000
 :@0.609942:0.367358:0.613611:0.367358:0.613611:0.352459:0.609942:0.352459:0.000000
no nulos y no colineales, :@0.122380:0.391247:0.289264:0.391247:0.289264:0.376348:0.122380:0.376348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.358258:0.392269:0.362446:0.392269:0.362446:0.375748:0.358258:0.375748:0.000000
,:@0.505731:0.415844:0.509919:0.415844:0.509919:0.399323:0.505731:0.399323:0.000000
2:@0.667653:0.418261:0.672495:0.418261:0.672495:0.408710:0.667653:0.408710:0.000000
1:@0.297845:0.394274:0.302571:0.394274:0.302571:0.385661:0.297845:0.385661:0.000000
1:@0.326744:0.394274:0.331470:0.394274:0.331470:0.385661:0.326744:0.385661:0.000000
1:@0.353281:0.394274:0.358007:0.394274:0.358007:0.385661:0.353281:0.385661:0.000000
2:@0.431486:0.394274:0.436213:0.394274:0.436213:0.385661:0.431486:0.385661:0.000000
1:@0.304643:0.417847:0.309370:0.417847:0.309370:0.409233:0.304643:0.409233:0.000000
1:@0.367731:0.417847:0.372457:0.417847:0.372457:0.409233:0.367731:0.409233:0.000000
1:@0.403168:0.417847:0.407894:0.417847:0.407894:0.409233:0.403168:0.409233:0.000000
1:@0.437617:0.417847:0.442343:0.417847:0.442343:0.409233:0.437617:0.409233:0.000000
2:@0.526243:0.417847:0.530970:0.417847:0.530970:0.409233:0.526243:0.409233:0.000000
2:@0.591365:0.417847:0.596091:0.417847:0.596091:0.409233:0.591365:0.409233:0.000000
2:@0.629533:0.417847:0.634259:0.417847:0.634259:0.409233:0.629533:0.409233:0.000000
2:@0.298464:0.443854:0.303191:0.443854:0.303191:0.435241:0.298464:0.435241:0.000000
1:@0.337156:0.443854:0.341882:0.443854:0.341882:0.435241:0.337156:0.435241:0.000000
{:@0.326113:0.422327:0.334154:0.422327:0.334154:0.393730:0.326113:0.393730:0.000000
}:@0.496301:0.422327:0.504342:0.422327:0.504342:0.393730:0.496301:0.393730:0.000000
{:@0.549138:0.422327:0.557179:0.422327:0.557179:0.393730:0.549138:0.393730:0.000000
}:@0.728958:0.422327:0.736999:0.422327:0.736999:0.393730:0.728958:0.393730:0.000000
=:@0.306586:0.392169:0.315784:0.392169:0.315784:0.378011:0.306586:0.378011:0.000000
×:@0.334446:0.392169:0.343643:0.392169:0.343643:0.378011:0.334446:0.378011:0.000000
=:@0.382130:0.392169:0.391327:0.392169:0.391327:0.378011:0.382130:0.378011:0.000000
×:@0.412016:0.392169:0.421213:0.392169:0.421213:0.378011:0.412016:0.378011:0.000000
∏=:@0.290729:0.415743:0.322592:0.415743:0.322592:0.401586:0.290729:0.401586:0.000000:0.000000
=:@0.346799:0.415743:0.355996:0.415743:0.355996:0.401586:0.346799:0.401586:0.000000
+:@0.375429:0.415743:0.384626:0.415743:0.384626:0.401586:0.375429:0.401586:0.000000
+:@0.410877:0.415743:0.420074:0.415743:0.420074:0.401586:0.410877:0.401586:0.000000
∈:@0.471403:0.415743:0.483348:0.415743:0.483348:0.401586:0.471403:0.401586:0.000000
∏=:@0.511710:0.415743:0.545616:0.415743:0.545616:0.401586:0.511710:0.401586:0.000000:0.000000
=:@0.569824:0.415743:0.579021:0.415743:0.579021:0.401586:0.569824:0.401586:0.000000
+:@0.600497:0.415743:0.609694:0.415743:0.609694:0.401586:0.600497:0.401586:0.000000
+:@0.638659:0.415743:0.647856:0.415743:0.647856:0.401586:0.638659:0.401586:0.000000
∈:@0.704044:0.415743:0.715988:0.415743:0.715988:0.401586:0.704044:0.401586:0.000000
=:@0.308637:0.441756:0.317834:0.441756:0.317834:0.427599:0.308637:0.427599:0.000000
n:@0.290729:0.391552:0.299373:0.391552:0.299373:0.376679:0.290729:0.376679:0.000000
b:@0.319677:0.391552:0.328103:0.391552:0.328103:0.376679:0.319677:0.376679:0.000000
cn:@0.346844:0.391552:0.372877:0.391552:0.372877:0.376679:0.346844:0.376679:0.000000:0.000000
c:@0.424433:0.391552:0.431402:0.391552:0.431402:0.376679:0.424433:0.376679:0.000000
x:@0.335059:0.415127:0.341844:0.415127:0.341844:0.400253:0.335059:0.400253:0.000000
a:@0.360238:0.415127:0.368664:0.415127:0.368664:0.400253:0.360238:0.400253:0.000000
ub:@0.387460:0.415127:0.404531:0.415127:0.404531:0.400253:0.387460:0.400253:0.000000:0.000000
vc u,v:@0.422540:0.415127:0.466749:0.415127:0.466749:0.400253:0.422540:0.400253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558083:0.415127:0.564868:0.415127:0.564868:0.400253:0.558083:0.400253:0.000000
a:@0.583262:0.415127:0.591689:0.415127:0.591689:0.400253:0.583262:0.400253:0.000000
xb:@0.613886:0.415127:0.630270:0.415127:0.630270:0.400253:0.613886:0.400253:0.000000:0.000000
ycx,y:@0.652048:0.415127:0.699474:0.415127:0.699474:0.400253:0.652048:0.400253:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.290715:0.441140:0.299359:0.441140:0.299359:0.426267:0.290715:0.426267:0.000000
cn:@0.322076:0.441140:0.338677:0.441140:0.338677:0.426267:0.322076:0.426267:0.000000:0.000000
:@0.291034:0.379860:0.302090:0.379860:0.302090:0.364634:0.291034:0.364634:0.000000:0.000000
  :@0.320350:0.379860:0.377643:0.379860:0.377643:0.364634:0.320350:0.364634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.369100:0.379860:0.375968:0.379860:0.375968:0.364634:0.369100:0.364634:0.000000
:@0.424751:0.379860:0.437165:0.379860:0.437165:0.364634:0.424751:0.364634:0.000000:0.000000
:@0.428621:0.379860:0.435489:0.379860:0.435489:0.364634:0.428621:0.364634:0.000000
:@0.334908:0.403434:0.341777:0.403434:0.341777:0.388208:0.334908:0.388208:0.000000
:@0.360556:0.403434:0.371981:0.403434:0.371981:0.388208:0.360556:0.388208:0.000000:0.000000
:@0.396791:0.403434:0.407429:0.403434:0.407429:0.388208:0.396791:0.388208:0.000000:0.000000
:@0.431502:0.403434:0.441872:0.403434:0.441872:0.388208:0.431502:0.388208:0.000000:0.000000
:@0.484155:0.415932:0.496250:0.415932:0.496250:0.400706:0.484155:0.400706:0.000000
:@0.557916:0.403434:0.564784:0.403434:0.564784:0.388208:0.557916:0.388208:0.000000
:@0.583564:0.403434:0.597033:0.403434:0.597033:0.388208:0.583564:0.388208:0.000000:0.000000
:@0.588489:0.403434:0.595358:0.403434:0.595358:0.388208:0.588489:0.388208:0.000000
:@0.622513:0.403434:0.635195:0.403434:0.635195:0.388208:0.622513:0.388208:0.000000:0.000000
:@0.626651:0.403434:0.633520:0.403434:0.633520:0.388208:0.626651:0.388208:0.000000
:@0.660675:0.403434:0.673524:0.403434:0.673524:0.388208:0.660675:0.388208:0.000000:0.000000
:@0.664981:0.403434:0.671849:0.403434:0.671849:0.388208:0.664981:0.388208:0.000000
:@0.716812:0.415932:0.728908:0.415932:0.728908:0.400706:0.716812:0.400706:0.000000
:@0.291034:0.429447:0.304134:0.429447:0.304134:0.414222:0.291034:0.414222:0.000000:0.000000
:@0.295590:0.429447:0.302459:0.429447:0.302459:0.414222:0.295590:0.414222:0.000000
:@0.330351:0.429447:0.341408:0.429447:0.341408:0.414222:0.330351:0.414222:0.000000:0.000000
 se dice que los planos :@0.440267:0.391247:0.594222:0.391247:0.594222:0.376348:0.440267:0.376348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.191752:0.395392:0.195940:0.395392:0.195940:0.378871:0.191752:0.378871:0.000000
,:@0.339225:0.418967:0.343413:0.418967:0.343413:0.402446:0.339225:0.402446:0.000000
2:@0.501147:0.421385:0.505990:0.421385:0.505990:0.411834:0.501147:0.411834:0.000000
1:@0.131340:0.397397:0.136066:0.397397:0.136066:0.388783:0.131340:0.388783:0.000000
1:@0.160239:0.397397:0.164966:0.397397:0.164966:0.388783:0.160239:0.388783:0.000000
1:@0.186776:0.397397:0.191502:0.397397:0.191502:0.388783:0.186776:0.388783:0.000000
2:@0.205468:0.397397:0.210194:0.397397:0.210194:0.388783:0.205468:0.388783:0.000000
2:@0.236401:0.397397:0.241128:0.397397:0.241128:0.388783:0.236401:0.388783:0.000000
2:@0.264982:0.397397:0.269708:0.397397:0.269708:0.388783:0.264982:0.388783:0.000000
1:@0.138144:0.420971:0.142871:0.420971:0.142871:0.412358:0.138144:0.412358:0.000000
1:@0.201232:0.420971:0.205958:0.420971:0.205958:0.412358:0.201232:0.412358:0.000000
1:@0.236669:0.420971:0.241395:0.420971:0.241395:0.412358:0.236669:0.412358:0.000000
1:@0.271118:0.420971:0.275844:0.420971:0.275844:0.412358:0.271118:0.412358:0.000000
2:@0.359744:0.420971:0.364471:0.420971:0.364471:0.412358:0.359744:0.412358:0.000000
2:@0.424866:0.420971:0.429592:0.420971:0.429592:0.412358:0.424866:0.412358:0.000000
2:@0.463034:0.420971:0.467760:0.420971:0.467760:0.412358:0.463034:0.412358:0.000000
2:@0.131968:0.446981:0.136694:0.446981:0.136694:0.438368:0.131968:0.438368:0.000000
1:@0.170659:0.446981:0.175385:0.446981:0.175385:0.438368:0.170659:0.438368:0.000000
{:@0.159609:0.425452:0.167650:0.425452:0.167650:0.396854:0.159609:0.396854:0.000000
}:@0.329797:0.425452:0.337838:0.425452:0.337838:0.396854:0.329797:0.396854:0.000000
{:@0.382634:0.425452:0.390675:0.425452:0.390675:0.396854:0.382634:0.396854:0.000000
}:@0.562454:0.425452:0.570495:0.425452:0.570495:0.396854:0.562454:0.396854:0.000000
=:@0.140081:0.395292:0.149278:0.395292:0.149278:0.381134:0.140081:0.381134:0.000000
×:@0.167940:0.395292:0.177137:0.395292:0.177137:0.381134:0.167940:0.381134:0.000000
=:@0.215618:0.395292:0.224815:0.395292:0.224815:0.381134:0.215618:0.381134:0.000000
×:@0.245504:0.395292:0.254701:0.395292:0.254701:0.381134:0.245504:0.381134:0.000000
∏=:@0.124220:0.418866:0.156083:0.418866:0.156083:0.404709:0.124220:0.404709:0.000000:0.000000
=:@0.180290:0.418866:0.189487:0.418866:0.189487:0.404709:0.180290:0.404709:0.000000
+:@0.208920:0.418866:0.218117:0.418866:0.218117:0.404709:0.208920:0.404709:0.000000
+:@0.244368:0.418866:0.253565:0.418866:0.253565:0.404709:0.244368:0.404709:0.000000
∈:@0.304894:0.418866:0.316839:0.418866:0.316839:0.404709:0.304894:0.404709:0.000000
∏=:@0.345201:0.418866:0.379108:0.418866:0.379108:0.404709:0.345201:0.404709:0.000000:0.000000
=:@0.403315:0.418866:0.412512:0.418866:0.412512:0.404709:0.403315:0.404709:0.000000
+:@0.433988:0.418866:0.443186:0.418866:0.443186:0.404709:0.433988:0.404709:0.000000
+:@0.472145:0.418866:0.481342:0.418866:0.481342:0.404709:0.472145:0.404709:0.000000
∈:@0.537530:0.418866:0.549474:0.418866:0.549474:0.404709:0.537530:0.404709:0.000000
=:@0.142123:0.444880:0.151320:0.444880:0.151320:0.430722:0.142123:0.430722:0.000000
n:@0.124215:0.394676:0.132859:0.394676:0.132859:0.379802:0.124215:0.379802:0.000000
b:@0.153163:0.394676:0.161589:0.394676:0.161589:0.379802:0.153163:0.379802:0.000000
cn:@0.180335:0.394676:0.206369:0.394676:0.206369:0.379802:0.180335:0.379802:0.000000:0.000000
b:@0.228716:0.394676:0.237143:0.394676:0.237143:0.379802:0.228716:0.379802:0.000000
c:@0.257932:0.394676:0.264901:0.394676:0.264901:0.379802:0.257932:0.379802:0.000000
x:@0.168560:0.418250:0.175345:0.418250:0.175345:0.403376:0.168560:0.403376:0.000000
a:@0.193739:0.418250:0.202165:0.418250:0.202165:0.403376:0.193739:0.403376:0.000000
ub:@0.220962:0.418250:0.238032:0.418250:0.238032:0.403376:0.220962:0.403376:0.000000:0.000000
vc u,v:@0.256041:0.418250:0.300251:0.418250:0.300251:0.403376:0.256041:0.403376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391585:0.418250:0.398369:0.418250:0.398369:0.403376:0.391585:0.403376:0.000000
a:@0.416764:0.418250:0.425190:0.418250:0.425190:0.403376:0.416764:0.403376:0.000000
xb:@0.447387:0.418250:0.463771:0.418250:0.463771:0.403376:0.447387:0.403376:0.000000:0.000000
ycx,y:@0.485549:0.418250:0.532975:0.418250:0.532975:0.403376:0.485549:0.403376:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.124220:0.444261:0.132864:0.444261:0.132864:0.429387:0.124220:0.429387:0.000000
cn:@0.155580:0.444261:0.172182:0.444261:0.172182:0.429387:0.155580:0.429387:0.000000:0.000000
:@0.124538:0.382980:0.135595:0.382980:0.135595:0.367754:0.124538:0.367754:0.000000:0.000000
  :@0.153855:0.382980:0.211148:0.382980:0.211148:0.367754:0.153855:0.367754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.202604:0.382980:0.209473:0.382980:0.209473:0.367754:0.202604:0.367754:0.000000
 :@0.229408:0.382980:0.270669:0.382980:0.270669:0.367754:0.229408:0.367754:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.233546:0.382980:0.240414:0.382980:0.240414:0.367754:0.233546:0.367754:0.000000
:@0.262126:0.382980:0.268994:0.382980:0.268994:0.367754:0.262126:0.367754:0.000000
:@0.168413:0.406555:0.175281:0.406555:0.175281:0.391329:0.168413:0.391329:0.000000
:@0.194061:0.406555:0.205486:0.406555:0.205486:0.391329:0.194061:0.391329:0.000000:0.000000
:@0.230296:0.406555:0.240934:0.406555:0.240934:0.391329:0.230296:0.391329:0.000000:0.000000
:@0.265007:0.406555:0.275377:0.406555:0.275377:0.391329:0.265007:0.391329:0.000000:0.000000
:@0.317656:0.419042:0.329752:0.419042:0.329752:0.403816:0.317656:0.403816:0.000000
:@0.391419:0.406548:0.398287:0.406548:0.398287:0.391322:0.391419:0.391322:0.000000
:@0.417067:0.406548:0.430536:0.406548:0.430536:0.391322:0.417067:0.391322:0.000000:0.000000
:@0.421992:0.406548:0.428861:0.406548:0.428861:0.391322:0.421992:0.391322:0.000000
:@0.456016:0.406548:0.468698:0.406548:0.468698:0.391322:0.456016:0.391322:0.000000:0.000000
:@0.460154:0.406548:0.467022:0.406548:0.467022:0.391322:0.460154:0.391322:0.000000
:@0.494178:0.406548:0.507027:0.406548:0.507027:0.391322:0.494178:0.391322:0.000000:0.000000
:@0.498483:0.406548:0.505352:0.406548:0.505352:0.391322:0.498483:0.391322:0.000000
:@0.550305:0.419042:0.562401:0.419042:0.562401:0.403816:0.550305:0.403816:0.000000
:@0.124533:0.432558:0.137634:0.432558:0.137634:0.417332:0.124533:0.417332:0.000000:0.000000
:@0.129090:0.432558:0.135958:0.432558:0.135958:0.417332:0.129090:0.417332:0.000000
:@0.163851:0.432558:0.174908:0.432558:0.174908:0.417332:0.163851:0.417332:0.000000:0.000000
son perpendiculares si y solo si existe   ≠ 0, tal que, :@0.122374:0.441598:0.464568:0.441598:0.464568:0.426699:0.122374:0.426699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.373001:0.441598:0.379970:0.441598:0.379970:0.426724:0.373001:0.426724:0.000000
0.:@0.517705:0.441629:0.531022:0.441598:0.531022:0.426699:0.517705:0.426730:0.000000:0.000000
1:@0.473626:0.444351:0.478352:0.444351:0.478352:0.435737:0.473626:0.435737:0.000000
2:@0.494459:0.444351:0.499185:0.444351:0.499185:0.435737:0.494459:0.435737:0.000000
⋅:@0.480589:0.442246:0.484777:0.442246:0.484777:0.428088:0.480589:0.428088:0.000000
=:@0.504612:0.442246:0.513809:0.442246:0.513809:0.428088:0.504612:0.428088:0.000000
nn:@0.466507:0.441629:0.495354:0.441629:0.495354:0.426756:0.466507:0.426756:0.000000:0.000000
 :@0.466820:0.429927:0.500124:0.429927:0.500124:0.414701:0.466820:0.414701:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.491580:0.429927:0.498448:0.429927:0.498448:0.414701:0.491580:0.414701:0.000000
Es decir, el producto escalar entre los dos vectores ortogonales es igual  :@0.122380:0.460244:0.601593:0.460244:0.601593:0.445345:0.122380:0.445345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a 0, por lo tanto, los dos planos son perpendiculares entre sí.:@0.122380:0.475331:0.522907:0.475331:0.522907:0.460432:0.122380:0.460432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planos paralelos :@0.279535:0.504237:0.400938:0.504237:0.400938:0.488873:0.279535:0.488873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏  || ∏:@0.400938:0.504853:0.448824:0.504860:0.448824:0.490703:0.400938:0.490696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.414725:0.507120:0.419960:0.507120:0.419960:0.498163:0.414725:0.498163:0.000000
2:@0.448834:0.507120:0.454069:0.507120:0.454069:0.498163:0.448834:0.498163:0.000000
Sean  ,, ,:@0.122374:0.530946:0.211572:0.531187:0.211572:0.516288:0.122374:0.516047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.228760:0.531187:0.250990:0.531187:0.250990:0.516288:0.228760:0.516288:0.000000:0.000000:0.000000
,:@0.173579:0.553779:0.176494:0.553779:0.176494:0.538880:0.173579:0.538880:0.000000
,:@0.175623:0.576373:0.178538:0.576373:0.178538:0.561474:0.175623:0.561474:0.000000
1:@0.169026:0.533908:0.173752:0.533908:0.173752:0.525295:0.169026:0.525295:0.000000
1:@0.186304:0.533908:0.191030:0.533908:0.191030:0.525295:0.186304:0.525295:0.000000
1:@0.203320:0.533908:0.208046:0.533908:0.208046:0.525295:0.203320:0.525295:0.000000
2:@0.222012:0.533908:0.226738:0.533908:0.226738:0.525295:0.222012:0.525295:0.000000
2:@0.241324:0.533908:0.246050:0.533908:0.246050:0.525295:0.241324:0.525295:0.000000
2:@0.260384:0.533908:0.265110:0.533908:0.265110:0.525295:0.260384:0.525295:0.000000
3:@0.295714:0.524204:0.300440:0.524204:0.300440:0.515591:0.295714:0.515591:0.000000
1:@0.168240:0.556501:0.172966:0.556501:0.172966:0.547887:0.168240:0.547887:0.000000
1:@0.185257:0.556501:0.189983:0.556501:0.189983:0.547887:0.185257:0.547887:0.000000
2:@0.168870:0.579092:0.173596:0.579092:0.173596:0.570478:0.168870:0.570478:0.000000
2:@0.187930:0.579092:0.192656:0.579092:0.192656:0.570478:0.187930:0.570478:0.000000
∈:@0.270168:0.531803:0.282113:0.531803:0.282113:0.517646:0.270168:0.517646:0.000000
ab ca bc:@0.161546:0.531187:0.260285:0.531187:0.260285:0.516313:0.161546:0.516313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.161172:0.553779:0.185782:0.553779:0.185782:0.538906:0.161172:0.538906:0.000000:0.000000
bc:@0.161172:0.576373:0.187825:0.576373:0.187825:0.561499:0.161172:0.561499:0.000000:0.000000
   :@0.161859:0.519480:0.266042:0.519480:0.266042:0.504254:0.161859:0.504254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.257499:0.519480:0.264367:0.519480:0.264367:0.504254:0.257499:0.504254:0.000000
:@0.282942:0.531979:0.295037:0.531979:0.295037:0.516753:0.282942:0.516753:0.000000
 :@0.161852:0.542078:0.189494:0.542078:0.189494:0.526852:0.161852:0.526852:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.161852:0.564671:0.193581:0.564671:0.193581:0.549446:0.161852:0.549446:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.185038:0.564671:0.191906:0.564671:0.191906:0.549446:0.185038:0.549446:0.000000
, tal que,  , , no nulos y no colineales,  ,:@0.303444:0.530946:0.585638:0.530679:0.585638:0.515780:0.303444:0.516047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,, ,:@0.379252:0.508762:0.416459:0.508762:0.416459:0.493863:0.379252:0.493863:0.000000:0.000000:0.000000:0.000000
, ,:@0.433647:0.508762:0.455877:0.508762:0.455877:0.493863:0.433647:0.493863:0.000000:0.000000:0.000000
,:@0.380508:0.553947:0.383423:0.553947:0.383423:0.539048:0.380508:0.539048:0.000000
1:@0.373911:0.511483:0.378637:0.511483:0.378637:0.502870:0.373911:0.502870:0.000000
1:@0.391189:0.511483:0.395915:0.511483:0.395915:0.502870:0.391189:0.502870:0.000000
1:@0.408205:0.511483:0.412932:0.511483:0.412932:0.502870:0.408205:0.502870:0.000000
2:@0.426897:0.511483:0.431623:0.511483:0.431623:0.502870:0.426897:0.502870:0.000000
2:@0.446209:0.511483:0.450935:0.511483:0.450935:0.502870:0.446209:0.502870:0.000000
2:@0.465269:0.511483:0.469995:0.511483:0.469995:0.502870:0.465269:0.502870:0.000000
3:@0.500599:0.501779:0.505325:0.501779:0.505325:0.493166:0.500599:0.493166:0.000000
1:@0.373126:0.534074:0.377853:0.534074:0.377853:0.525461:0.373126:0.525461:0.000000
1:@0.390143:0.534074:0.394869:0.534074:0.394869:0.525461:0.390143:0.525461:0.000000
2 2:@0.373756:0.556665:0.376698:0.557860:0.376698:0.549246:0.373756:0.548052:0.000000:0.000000:0.000000
2 2:@0.392816:0.556665:0.407639:0.557860:0.407639:0.549246:0.392816:0.548052:0.000000:0.000000:0.000000
∈:@0.475054:0.509378:0.486998:0.509378:0.486998:0.495221:0.475054:0.495221:0.000000
ab ca bc:@0.366431:0.508762:0.465170:0.508762:0.465170:0.493888:0.366431:0.493888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.366062:0.531356:0.390672:0.531356:0.390672:0.516482:0.366062:0.516482:0.000000:0.000000
bc b n:@0.366062:0.553949:0.426887:0.557353:0.426887:0.542479:0.366062:0.539075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.366749:0.497056:0.470932:0.497056:0.470932:0.481830:0.366749:0.481830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.462389:0.497056:0.469257:0.497056:0.469257:0.481830:0.462389:0.481830:0.000000
:@0.487836:0.509554:0.499931:0.509554:0.499931:0.494328:0.487836:0.494328:0.000000
 :@0.366749:0.519650:0.394391:0.519650:0.394391:0.504424:0.366749:0.504424:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.366749:0.542244:0.429614:0.545650:0.429614:0.530424:0.366749:0.527018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.389935:0.542244:0.396803:0.542244:0.396803:0.527018:0.389935:0.527018:0.000000
,, ,:@0.581466:0.485494:0.618674:0.485494:0.618674:0.470595:0.581466:0.470595:0.000000:0.000000:0.000000:0.000000
, ,:@0.635862:0.485494:0.658092:0.485494:0.658092:0.470595:0.635862:0.470595:0.000000:0.000000:0.000000
,:@0.580679:0.508088:0.583594:0.508088:0.583594:0.493189:0.580679:0.493189:0.000000
1:@0.576127:0.488215:0.580854:0.488215:0.580854:0.479602:0.576127:0.479602:0.000000
1:@0.593405:0.488215:0.598132:0.488215:0.598132:0.479602:0.593405:0.479602:0.000000
1:@0.610422:0.488215:0.615148:0.488215:0.615148:0.479602:0.610422:0.479602:0.000000
2:@0.629113:0.488215:0.633840:0.488215:0.633840:0.479602:0.629113:0.479602:0.000000
2:@0.648425:0.488215:0.653152:0.488215:0.653152:0.479602:0.648425:0.479602:0.000000
2:@0.667485:0.488215:0.672211:0.488215:0.672211:0.479602:0.667485:0.479602:0.000000
3:@0.702816:0.478512:0.707542:0.478512:0.707542:0.469898:0.702816:0.469898:0.000000
1:@0.575343:0.510807:0.580069:0.510807:0.580069:0.502193:0.575343:0.502193:0.000000
1:@0.592359:0.510807:0.597086:0.510807:0.597086:0.502193:0.592359:0.502193:0.000000
2:@0.575973:0.533398:0.580699:0.533398:0.580699:0.524784:0.575973:0.524784:0.000000
2:@0.595032:0.533398:0.599759:0.533398:0.599759:0.524784:0.595032:0.524784:0.000000
∈:@0.677270:0.486110:0.689215:0.486110:0.689215:0.471953:0.677270:0.471953:0.000000
ab ca bc:@0.568648:0.485494:0.667386:0.485494:0.667386:0.470620:0.568648:0.470620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.568279:0.508088:0.592888:0.508088:0.592888:0.493214:0.568279:0.493214:0.000000:0.000000
bc:@0.568279:0.530682:0.594932:0.530682:0.594932:0.515808:0.568279:0.515808:0.000000:0.000000
   :@0.568966:0.473789:0.673149:0.473789:0.673149:0.458563:0.568966:0.458563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.664605:0.473789:0.671474:0.473789:0.671474:0.458563:0.664605:0.458563:0.000000
:@0.690052:0.486286:0.702147:0.486286:0.702147:0.471060:0.690052:0.471060:0.000000
 :@0.568966:0.496382:0.596607:0.496382:0.596607:0.481157:0.568966:0.481157:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.568966:0.518976:0.600695:0.518976:0.600695:0.503750:0.568966:0.503750:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.592151:0.518976:0.599020:0.518976:0.599020:0.503750:0.592151:0.503750:0.000000
no nulos y no colineales, :@0.122374:0.554834:0.289258:0.554834:0.289258:0.539935:0.122374:0.539935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.358258:0.555855:0.362446:0.555855:0.362446:0.539334:0.358258:0.539334:0.000000
,:@0.505731:0.579430:0.509919:0.579430:0.509919:0.562909:0.505731:0.562909:0.000000
2:@0.667653:0.581848:0.672495:0.581848:0.672495:0.572297:0.667653:0.572297:0.000000
1:@0.297843:0.557860:0.302570:0.557860:0.302570:0.549246:0.297843:0.549246:0.000000
1:@0.326743:0.557860:0.331469:0.557860:0.331469:0.549246:0.326743:0.549246:0.000000
1:@0.353280:0.557860:0.358006:0.557860:0.358006:0.549246:0.353280:0.549246:0.000000
2:@0.431493:0.557860:0.436219:0.557860:0.436219:0.549246:0.431493:0.549246:0.000000
1:@0.304650:0.581432:0.309376:0.581432:0.309376:0.572819:0.304650:0.572819:0.000000
1:@0.367737:0.581432:0.372463:0.581432:0.372463:0.572819:0.367737:0.572819:0.000000
1:@0.403174:0.581432:0.407900:0.581432:0.407900:0.572819:0.403174:0.572819:0.000000
1:@0.437623:0.581432:0.442350:0.581432:0.442350:0.572819:0.437623:0.572819:0.000000
2 1:@0.526250:0.581432:0.535413:0.583648:0.535413:0.575035:0.526250:0.572819:0.000000:0.000000:0.000000
2:@0.591371:0.581432:0.596097:0.581432:0.596097:0.572819:0.591371:0.572819:0.000000
2:@0.629539:0.581432:0.634266:0.581432:0.634266:0.572819:0.629539:0.572819:0.000000
2:@0.298471:0.607440:0.303197:0.607440:0.303197:0.598826:0.298471:0.598826:0.000000
1:@0.337162:0.607440:0.341888:0.607440:0.341888:0.598826:0.337162:0.598826:0.000000
{:@0.326113:0.585915:0.334154:0.585915:0.334154:0.557317:0.326113:0.557317:0.000000
}:@0.496301:0.585915:0.504342:0.585915:0.504342:0.557317:0.496301:0.557317:0.000000
{:@0.549138:0.585915:0.557179:0.585915:0.557179:0.557317:0.549138:0.557317:0.000000
}:@0.728958:0.585915:0.736999:0.585915:0.736999:0.557317:0.728958:0.557317:0.000000
=:@0.306586:0.555755:0.315784:0.555755:0.315784:0.541597:0.306586:0.541597:0.000000
×:@0.334446:0.555755:0.343643:0.555755:0.343643:0.541597:0.334446:0.541597:0.000000
=:@0.382130:0.555755:0.391327:0.555755:0.391327:0.541597:0.382130:0.541597:0.000000
× =:@0.412016:0.555755:0.443303:0.557969:0.443303:0.543812:0.412016:0.541597:0.000000:0.000000:0.000000
∏=:@0.290729:0.579329:0.322592:0.579329:0.322592:0.565172:0.290729:0.565172:0.000000:0.000000
=:@0.346799:0.579329:0.355996:0.579329:0.355996:0.565172:0.346799:0.565172:0.000000
+:@0.375429:0.579329:0.384626:0.579329:0.384626:0.565172:0.375429:0.565172:0.000000
+ ∏=:@0.410877:0.579329:0.450104:0.581543:0.450104:0.567386:0.410877:0.565172:0.000000:0.000000:0.000000:0.000000
∈ =:@0.471403:0.579329:0.483509:0.581543:0.483509:0.567386:0.471403:0.565172:0.000000:0.000000:0.000000
∏= +:@0.511710:0.579329:0.547586:0.581543:0.547586:0.567386:0.511710:0.565172:0.000000:0.000000:0.000000:0.000000
=:@0.569824:0.579329:0.579021:0.579329:0.579021:0.565172:0.569824:0.565172:0.000000
+ ∈:@0.600497:0.579329:0.610860:0.581543:0.610860:0.567386:0.600497:0.565172:0.000000:0.000000:0.000000
+ ∏=:@0.638659:0.579329:0.673129:0.581543:0.673129:0.567386:0.638659:0.565172:0.000000:0.000000:0.000000:0.000000
∈ +:@0.704044:0.579329:0.737207:0.581543:0.737207:0.567386:0.704044:0.565172:0.000000:0.000000:0.000000
=:@0.308637:0.605343:0.317834:0.605343:0.317834:0.591185:0.308637:0.591185:0.000000
n:@0.290729:0.555139:0.299373:0.555139:0.299373:0.540265:0.290729:0.540265:0.000000
b:@0.319677:0.555139:0.328103:0.555139:0.328103:0.540265:0.319677:0.540265:0.000000
cn:@0.346844:0.555139:0.372877:0.555139:0.372877:0.540265:0.346844:0.540265:0.000000:0.000000
c b:@0.424433:0.555139:0.455617:0.557353:0.455617:0.542479:0.424433:0.540265:0.000000:0.000000:0.000000
x:@0.335059:0.578713:0.341844:0.578713:0.341844:0.563839:0.335059:0.563839:0.000000
a:@0.360238:0.578713:0.368664:0.578713:0.368664:0.563839:0.360238:0.563839:0.000000
ub:@0.387460:0.578713:0.404531:0.578713:0.404531:0.563839:0.387460:0.563839:0.000000:0.000000
vc u,v x:@0.422540:0.578713:0.469371:0.580927:0.469371:0.566053:0.422540:0.563839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x vc u,v:@0.558083:0.578713:0.594277:0.580927:0.594277:0.566053:0.558083:0.563839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.583262:0.578713:0.591689:0.578713:0.591689:0.563839:0.583262:0.563839:0.000000
xb:@0.613886:0.578713:0.630270:0.578713:0.630270:0.563839:0.613886:0.563839:0.000000:0.000000
ycx,y x:@0.652048:0.578713:0.692396:0.580927:0.692396:0.566053:0.652048:0.563839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.290715:0.604727:0.299359:0.604727:0.299359:0.589853:0.290715:0.589853:0.000000
cn c:@0.322076:0.604727:0.331708:0.606967:0.331708:0.592093:0.322076:0.589853:0.000000:0.000000:0.000000:0.000000
:@0.291034:0.543446:0.302090:0.543446:0.302090:0.528220:0.291034:0.528220:0.000000:0.000000
  :@0.320350:0.543446:0.377643:0.543446:0.377643:0.528220:0.320350:0.528220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.369100:0.543446:0.375968:0.543446:0.375968:0.528220:0.369100:0.528220:0.000000
   :@0.424751:0.543446:0.503492:0.545650:0.503492:0.530424:0.424751:0.528220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.428621:0.543446:0.435489:0.543446:0.435489:0.528220:0.428621:0.528220:0.000000
:@0.334908:0.567020:0.341777:0.567020:0.341777:0.551794:0.334908:0.551794:0.000000
:@0.360556:0.567020:0.371981:0.567020:0.371981:0.551794:0.360556:0.551794:0.000000:0.000000
:@0.396791:0.567020:0.407429:0.567020:0.407429:0.551794:0.396791:0.551794:0.000000:0.000000
:@0.431502:0.567020:0.441872:0.567020:0.441872:0.551794:0.431502:0.551794:0.000000:0.000000
:@0.484155:0.579518:0.496250:0.579518:0.496250:0.564292:0.484155:0.564292:0.000000
 :@0.557916:0.567020:0.569396:0.569224:0.569396:0.553998:0.557916:0.551794:0.000000:0.000000:0.000000:0.000000
:@0.583564:0.567020:0.597033:0.567020:0.597033:0.551794:0.583564:0.551794:0.000000:0.000000
:@0.588489:0.567020:0.595358:0.567020:0.595358:0.551794:0.588489:0.551794:0.000000
:@0.622513:0.567020:0.635195:0.567020:0.635195:0.551794:0.622513:0.551794:0.000000:0.000000
:@0.626651:0.567020:0.633520:0.567020:0.633520:0.551794:0.626651:0.551794:0.000000
 :@0.660675:0.567020:0.692309:0.569224:0.692309:0.553998:0.660675:0.551794:0.000000:0.000000:0.000000:0.000000
:@0.664981:0.567020:0.671849:0.567020:0.671849:0.551794:0.664981:0.551794:0.000000
:@0.716812:0.579518:0.728908:0.579518:0.728908:0.564292:0.716812:0.564292:0.000000
:@0.291034:0.593034:0.304134:0.593034:0.304134:0.577808:0.291034:0.577808:0.000000:0.000000
:@0.295590:0.593034:0.302459:0.593034:0.302459:0.577808:0.295590:0.577808:0.000000
:@0.330351:0.593034:0.341408:0.593034:0.341408:0.577808:0.330351:0.577808:0.000000:0.000000
 se dice que los planos :@0.440267:0.554834:0.594222:0.554834:0.594222:0.539935:0.440267:0.539935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.191752:0.559513:0.195940:0.559513:0.195940:0.542992:0.191752:0.542992:0.000000
,:@0.339225:0.583087:0.343413:0.583087:0.343413:0.566566:0.339225:0.566566:0.000000
2:@0.501147:0.585506:0.505990:0.585506:0.505990:0.575955:0.501147:0.575955:0.000000
1:@0.131340:0.561517:0.136066:0.561517:0.136066:0.552904:0.131340:0.552904:0.000000
1:@0.160239:0.561517:0.164966:0.561517:0.164966:0.552904:0.160239:0.552904:0.000000
1:@0.186776:0.561517:0.191502:0.561517:0.191502:0.552904:0.186776:0.552904:0.000000
2:@0.205468:0.561517:0.210194:0.561517:0.210194:0.552904:0.205468:0.552904:0.000000
2:@0.236401:0.561517:0.241128:0.561517:0.241128:0.552904:0.236401:0.552904:0.000000
2:@0.264982:0.561517:0.269708:0.561517:0.269708:0.552904:0.264982:0.552904:0.000000
1:@0.138144:0.585092:0.142871:0.585092:0.142871:0.576478:0.138144:0.576478:0.000000
1:@0.201232:0.585092:0.205958:0.585092:0.205958:0.576478:0.201232:0.576478:0.000000
1:@0.236669:0.585092:0.241395:0.585092:0.241395:0.576478:0.236669:0.576478:0.000000
1:@0.271118:0.585092:0.275844:0.585092:0.275844:0.576478:0.271118:0.576478:0.000000
2:@0.359744:0.585092:0.364471:0.585092:0.364471:0.576478:0.359744:0.576478:0.000000
2 1:@0.424866:0.585092:0.436889:0.583648:0.436889:0.575035:0.424866:0.576478:0.000000:0.000000:0.000000
2:@0.463034:0.585092:0.467760:0.585092:0.467760:0.576478:0.463034:0.576478:0.000000
2:@0.131968:0.611103:0.136694:0.611103:0.136694:0.602489:0.131968:0.602489:0.000000
1:@0.170659:0.611103:0.175385:0.611103:0.175385:0.602489:0.170659:0.602489:0.000000
{:@0.159609:0.589572:0.167650:0.589572:0.167650:0.560975:0.159609:0.560975:0.000000
}:@0.329797:0.589572:0.337838:0.589572:0.337838:0.560975:0.329797:0.560975:0.000000
{:@0.382624:0.589572:0.390665:0.589572:0.390665:0.560975:0.382624:0.560975:0.000000
}:@0.562444:0.589572:0.570485:0.589572:0.570485:0.560975:0.562444:0.560975:0.000000
=:@0.140081:0.559412:0.149278:0.559412:0.149278:0.545255:0.140081:0.545255:0.000000
×:@0.167940:0.559412:0.177137:0.559412:0.177137:0.545255:0.167940:0.545255:0.000000
=:@0.215618:0.559412:0.224815:0.559412:0.224815:0.545255:0.215618:0.545255:0.000000
×:@0.245504:0.559412:0.254701:0.559412:0.254701:0.545255:0.245504:0.545255:0.000000
∏=:@0.124220:0.582987:0.156083:0.582987:0.156083:0.568829:0.124220:0.568829:0.000000:0.000000
=:@0.180290:0.582987:0.189487:0.582987:0.189487:0.568829:0.180290:0.568829:0.000000
+:@0.208920:0.582987:0.218117:0.582987:0.218117:0.568829:0.208920:0.568829:0.000000
+:@0.244368:0.582987:0.253565:0.582987:0.253565:0.568829:0.244368:0.568829:0.000000
∈:@0.304894:0.582987:0.316839:0.582987:0.316839:0.568829:0.304894:0.568829:0.000000
∏=:@0.345201:0.582987:0.379108:0.582987:0.379108:0.568829:0.345201:0.568829:0.000000:0.000000
=:@0.403315:0.582987:0.412512:0.582987:0.412512:0.568829:0.403315:0.568829:0.000000
+:@0.433988:0.582987:0.443186:0.582987:0.443186:0.568829:0.433988:0.568829:0.000000
+:@0.472145:0.582987:0.481342:0.582987:0.481342:0.568829:0.472145:0.568829:0.000000
∈:@0.537530:0.582987:0.549474:0.582987:0.549474:0.568829:0.537530:0.568829:0.000000
=:@0.142123:0.609000:0.151320:0.609000:0.151320:0.594843:0.142123:0.594843:0.000000
n:@0.124215:0.558796:0.132859:0.558796:0.132859:0.543922:0.124215:0.543922:0.000000
b:@0.153163:0.558796:0.161589:0.558796:0.161589:0.543922:0.153163:0.543922:0.000000
cn:@0.180335:0.558796:0.206369:0.558796:0.206369:0.543922:0.180335:0.543922:0.000000:0.000000
b:@0.228716:0.558796:0.237143:0.558796:0.237143:0.543922:0.228716:0.543922:0.000000
c:@0.257932:0.558796:0.264901:0.558796:0.264901:0.543922:0.257932:0.543922:0.000000
x:@0.168560:0.582371:0.175345:0.582371:0.175345:0.567497:0.168560:0.567497:0.000000
a:@0.193739:0.582371:0.202165:0.582371:0.202165:0.567497:0.193739:0.567497:0.000000
ub:@0.220962:0.582371:0.238032:0.582371:0.238032:0.567497:0.220962:0.567497:0.000000:0.000000
vc u,v:@0.256041:0.582371:0.300251:0.582371:0.300251:0.567497:0.256041:0.567497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391585:0.582371:0.398369:0.582371:0.398369:0.567497:0.391585:0.567497:0.000000
a:@0.416764:0.582371:0.425190:0.582371:0.425190:0.567497:0.416764:0.567497:0.000000
xb:@0.447387:0.582371:0.463771:0.582371:0.463771:0.567497:0.447387:0.567497:0.000000:0.000000
ycx,y:@0.485549:0.582371:0.532975:0.582371:0.532975:0.567497:0.485549:0.567497:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.124220:0.608382:0.132864:0.608382:0.132864:0.593508:0.124220:0.593508:0.000000
cn:@0.155580:0.608382:0.172182:0.608382:0.172182:0.593508:0.155580:0.593508:0.000000:0.000000
:@0.124538:0.547101:0.135595:0.547101:0.135595:0.531875:0.124538:0.531875:0.000000:0.000000
  :@0.153855:0.547101:0.211148:0.547101:0.211148:0.531875:0.153855:0.531875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.202604:0.547101:0.209473:0.547101:0.209473:0.531875:0.202604:0.531875:0.000000
 :@0.229408:0.547101:0.270669:0.547101:0.270669:0.531875:0.229408:0.531875:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.233546:0.547101:0.240414:0.547101:0.240414:0.531875:0.233546:0.531875:0.000000
:@0.262126:0.547101:0.268994:0.547101:0.268994:0.531875:0.262126:0.531875:0.000000
:@0.168413:0.570675:0.175281:0.570675:0.175281:0.555449:0.168413:0.555449:0.000000
:@0.194061:0.570675:0.205486:0.570675:0.205486:0.555449:0.194061:0.555449:0.000000:0.000000
:@0.230296:0.570675:0.240934:0.570675:0.240934:0.555449:0.230296:0.555449:0.000000:0.000000
:@0.265007:0.570675:0.275377:0.570675:0.275377:0.555449:0.265007:0.555449:0.000000:0.000000
:@0.317656:0.583163:0.329752:0.583163:0.329752:0.567937:0.317656:0.567937:0.000000
:@0.391419:0.570669:0.398287:0.570669:0.398287:0.555443:0.391419:0.555443:0.000000
:@0.417067:0.570669:0.430536:0.570669:0.430536:0.555443:0.417067:0.555443:0.000000:0.000000
:@0.421992:0.570669:0.428861:0.570669:0.428861:0.555443:0.421992:0.555443:0.000000
 :@0.456016:0.570669:0.469301:0.569224:0.469301:0.553998:0.456016:0.555443:0.000000:0.000000:0.000000:0.000000
:@0.460154:0.570669:0.467022:0.570669:0.467022:0.555443:0.460154:0.555443:0.000000
:@0.494178:0.570669:0.507027:0.570669:0.507027:0.555443:0.494178:0.555443:0.000000:0.000000
:@0.498483:0.570669:0.505352:0.570669:0.505352:0.555443:0.498483:0.555443:0.000000
:@0.550305:0.583163:0.562401:0.583163:0.562401:0.567937:0.550305:0.567937:0.000000
:@0.124533:0.596679:0.137634:0.596679:0.137634:0.581453:0.124533:0.581453:0.000000:0.000000
:@0.129090:0.596679:0.135958:0.596679:0.135958:0.581453:0.129090:0.581453:0.000000
:@0.163851:0.596679:0.174908:0.596679:0.174908:0.581453:0.163851:0.581453:0.000000:0.000000
son paralelos si y solo si existe   ≠ 0, tal que, :@0.122374:0.606967:0.416306:0.606967:0.416306:0.592068:0.122374:0.592068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.485777:0.558069:0.489965:0.558069:0.489965:0.541548:0.485777:0.541548:0.000000
,:@0.633248:0.581644:0.637436:0.581644:0.637436:0.565123:0.633248:0.565123:0.000000
2:@0.795172:0.584063:0.800014:0.584063:0.800014:0.574511:0.795172:0.574511:0.000000
1:@0.425364:0.560076:0.430090:0.560076:0.430090:0.551462:0.425364:0.551462:0.000000
1:@0.454264:0.560076:0.458990:0.560076:0.458990:0.551462:0.454264:0.551462:0.000000
1:@0.480800:0.560076:0.485526:0.560076:0.485526:0.551462:0.480800:0.551462:0.000000
2:@0.499492:0.560076:0.504218:0.560076:0.504218:0.551462:0.499492:0.551462:0.000000
2:@0.530425:0.560076:0.535152:0.560076:0.535152:0.551462:0.530425:0.551462:0.000000
2:@0.559006:0.560076:0.563732:0.560076:0.563732:0.551462:0.559006:0.551462:0.000000
1:@0.495250:0.583648:0.499976:0.583648:0.499976:0.575035:0.495250:0.575035:0.000000
1:@0.565136:0.583648:0.569862:0.583648:0.569862:0.575035:0.565136:0.575035:0.000000
2:@0.653763:0.583648:0.658489:0.583648:0.658489:0.575035:0.653763:0.575035:0.000000
2:@0.718884:0.583648:0.723610:0.583648:0.723610:0.575035:0.718884:0.575035:0.000000
2:@0.757052:0.583648:0.761778:0.583648:0.761778:0.575035:0.757052:0.575035:0.000000
2:@0.425984:0.609656:0.430710:0.609656:0.430710:0.601042:0.425984:0.601042:0.000000
1:@0.464675:0.609656:0.469401:0.609656:0.469401:0.601042:0.464675:0.601042:0.000000
{:@0.453632:0.588127:0.461673:0.588127:0.461673:0.559530:0.453632:0.559530:0.000000
}:@0.623820:0.588127:0.631861:0.588127:0.631861:0.559530:0.623820:0.559530:0.000000
{:@0.676657:0.588127:0.684698:0.588127:0.684698:0.559530:0.676657:0.559530:0.000000
}:@0.856477:0.588127:0.864518:0.588127:0.864518:0.559530:0.856477:0.559530:0.000000
×:@0.461965:0.557969:0.471162:0.557969:0.471162:0.543812:0.461965:0.543812:0.000000
=:@0.509642:0.557969:0.518839:0.557969:0.518839:0.543812:0.509642:0.543812:0.000000
×:@0.539529:0.557969:0.548726:0.557969:0.548726:0.543812:0.539529:0.543812:0.000000
+:@0.502941:0.581543:0.512138:0.581543:0.512138:0.567386:0.502941:0.567386:0.000000
=:@0.697336:0.581543:0.706533:0.581543:0.706533:0.567386:0.697336:0.567386:0.000000
+:@0.766172:0.581543:0.775369:0.581543:0.775369:0.567386:0.766172:0.567386:0.000000
∈:@0.831556:0.581543:0.843501:0.581543:0.843501:0.567386:0.831556:0.567386:0.000000
=:@0.436148:0.607553:0.445345:0.607553:0.445345:0.593396:0.436148:0.593396:0.000000
cn:@0.474363:0.557353:0.500397:0.557353:0.500397:0.542479:0.474363:0.542479:0.000000:0.000000
b:@0.522744:0.557353:0.531171:0.557353:0.531171:0.542479:0.522744:0.542479:0.000000
c:@0.551960:0.557353:0.558929:0.557353:0.558929:0.542479:0.551960:0.542479:0.000000
a:@0.487765:0.580927:0.496192:0.580927:0.496192:0.566053:0.487765:0.566053:0.000000
ub:@0.514988:0.580927:0.532059:0.580927:0.532059:0.566053:0.514988:0.566053:0.000000:0.000000
a:@0.710790:0.580927:0.719216:0.580927:0.719216:0.566053:0.710790:0.566053:0.000000
xb:@0.741413:0.580927:0.757797:0.580927:0.757797:0.566053:0.741413:0.566053:0.000000:0.000000
ycx,y:@0.779575:0.580927:0.827001:0.580927:0.827001:0.566053:0.779575:0.566053:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.418243:0.606941:0.426887:0.606941:0.426887:0.592067:0.418243:0.592067:0.000000
cn:@0.449603:0.606941:0.466203:0.606937:0.466203:0.592063:0.449603:0.592067:0.000000:0.000000
 :@0.523428:0.545650:0.564689:0.545650:0.564689:0.530424:0.523428:0.530424:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.527566:0.545650:0.534434:0.545650:0.534434:0.530424:0.527566:0.530424:0.000000
:@0.556145:0.545650:0.563014:0.545650:0.563014:0.530424:0.556145:0.530424:0.000000
:@0.488080:0.569224:0.499505:0.569224:0.499505:0.553998:0.488080:0.553998:0.000000:0.000000
:@0.524316:0.569224:0.534953:0.569224:0.534953:0.553998:0.524316:0.553998:0.000000:0.000000
:@0.611679:0.581722:0.623775:0.581722:0.623775:0.566496:0.611679:0.566496:0.000000
:@0.711088:0.569224:0.724557:0.569224:0.724557:0.553998:0.711088:0.553998:0.000000:0.000000
:@0.716013:0.569224:0.722882:0.569224:0.722882:0.553998:0.716013:0.553998:0.000000
:@0.750037:0.569224:0.762719:0.569224:0.762719:0.553998:0.750037:0.553998:0.000000:0.000000
:@0.754175:0.569224:0.761044:0.569224:0.761044:0.553998:0.754175:0.553998:0.000000
:@0.788199:0.569224:0.801049:0.569224:0.801049:0.553998:0.788199:0.553998:0.000000:0.000000
:@0.792505:0.569224:0.799373:0.569224:0.799373:0.553998:0.792505:0.553998:0.000000
:@0.844337:0.581722:0.856432:0.581722:0.856432:0.566496:0.844337:0.566496:0.000000
:@0.418558:0.595238:0.431658:0.595238:0.431658:0.580012:0.418558:0.580012:0.000000:0.000000
:@0.423114:0.595238:0.429983:0.595238:0.429983:0.580012:0.423114:0.580012:0.000000
:@0.457876:0.595238:0.468932:0.595238:0.468932:0.580012:0.457876:0.580012:0.000000:0.000000
.:@0.471871:0.606967:0.474786:0.606967:0.474786:0.592068:0.471871:0.592068:0.000000
Es decir, dos planos son paralelos si existe un escalar c que permita :@0.122365:0.625613:0.569612:0.625613:0.569612:0.610714:0.122365:0.610714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribir un plano en términos del otro.:@0.122365:0.640700:0.376528:0.640700:0.376528:0.625801:0.122365:0.625801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000