57:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Ejercicios resueltos:@0.108233:0.096570:0.238888:0.096570:0.238888:0.079783:0.108233:0.079783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108233:0.113762:0.120505:0.113762:0.120505:0.097047:0.108233:0.097047:0.000000:0.000000
  A continuación se definen los planos mutuamente perpendicula-:@0.120506:0.113545:0.595814:0.113545:0.595814:0.097047:0.120506:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res, formados en el sistema de referencia tridimensional::@0.131968:0.130896:0.524825:0.130896:0.524825:0.114398:0.131968:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.178799:0.112375:0.178799:0.112375:0.162301:0.108233:0.162301:0.000000
xy:@0.150719:0.171026:0.159305:0.171026:0.159305:0.161494:0.150719:0.161494:0.000000:0.000000
=:@0.164278:0.168740:0.175086:0.168740:0.175086:0.152243:0.164278:0.152243:0.000000
x xi y j x y:@0.187262:0.168856:0.289651:0.168856:0.289651:0.152387:0.187262:0.152387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.198358:0.168740:0.209165:0.168740:0.209165:0.152243:0.198358:0.152243:0.000000
+:@0.227674:0.169290:0.238251:0.169290:0.238251:0.150450:0.227674:0.150450:0.000000
| ,:@0.260772:0.168740:0.279440:0.168740:0.279440:0.152243:0.260772:0.152243:0.000000:0.000000:0.000000
{:@0.176998:0.174874:0.186246:0.174874:0.186246:0.141339:0.176998:0.141339:0.000000
}:@0.320910:0.174874:0.330157:0.174874:0.330157:0.141339:0.320910:0.141339:0.000000
,:@0.331802:0.168740:0.334557:0.168740:0.334557:0.152243:0.331802:0.152243:0.000000
 :@0.338031:0.178799:0.342173:0.178799:0.342173:0.162301:0.338031:0.162301:0.000000
xz:@0.360914:0.171026:0.368898:0.171026:0.368898:0.161494:0.360914:0.161494:0.000000:0.000000
=:@0.373794:0.168740:0.384602:0.168740:0.384602:0.152243:0.373794:0.152243:0.000000
x xi zk x z:@0.396777:0.168856:0.498142:0.168856:0.498142:0.152387:0.396777:0.152387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.407875:0.168740:0.418683:0.168740:0.418683:0.152243:0.407875:0.152243:0.000000
+:@0.437191:0.169290:0.447768:0.169290:0.447768:0.150450:0.437191:0.150450:0.000000
| ,:@0.469282:0.168740:0.489376:0.168740:0.489376:0.152243:0.469282:0.152243:0.000000:0.000000:0.000000
{:@0.386515:0.174874:0.395763:0.174874:0.395763:0.141339:0.386515:0.141339:0.000000
}:@0.529233:0.174874:0.538480:0.174874:0.538480:0.141339:0.529233:0.141339:0.000000
,:@0.540113:0.168740:0.542868:0.168740:0.542868:0.152243:0.540113:0.152243:0.000000
 :@0.108233:0.209351:0.112375:0.209351:0.112375:0.192854:0.108233:0.192854:0.000000
yz:@0.150928:0.201579:0.159169:0.201579:0.159169:0.192047:0.150928:0.192047:0.000000:0.000000
=:@0.164069:0.199293:0.174877:0.199293:0.174877:0.182795:0.164069:0.182795:0.000000
x y j zk y z:@0.187052:0.199409:0.292014:0.199409:0.292014:0.182940:0.187052:0.182940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.198148:0.199293:0.208956:0.199293:0.208956:0.182795:0.198148:0.182795:0.000000
+:@0.230660:0.199842:0.241236:0.199842:0.241236:0.181002:0.230660:0.181002:0.000000
| ,:@0.262750:0.199293:0.283249:0.199293:0.283249:0.182795:0.262750:0.182795:0.000000:0.000000:0.000000
{:@0.176789:0.205426:0.186036:0.205426:0.186036:0.171891:0.176789:0.171891:0.000000
}:@0.323109:0.205426:0.332356:0.205426:0.332356:0.171891:0.323109:0.171891:0.000000
.:@0.333268:0.199293:0.336023:0.199293:0.336023:0.182795:0.333268:0.182795:0.000000
Nota que: :@0.339706:0.199293:0.414261:0.199293:0.414261:0.182795:0.339706:0.182795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.239909:0.112376:0.239909:0.112376:0.223411:0.108234:0.223411:0.000000
a:@0.135117:0.229136:0.144095:0.229136:0.144095:0.212667:0.135117:0.212667:0.000000
=( ,  ,  ):@0.146635:0.229021:0.235041:0.229021:0.235041:0.212523:0.146635:0.212523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.165746:0.229136:0.223266:0.229136:0.223266:0.212667:0.165746:0.212667:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.173857:0.231239:0.178775:0.231239:0.178775:0.221691:0.173857:0.221691:0.000000
2:@0.197783:0.231239:0.202700:0.231239:0.202700:0.221691:0.197783:0.221691:0.000000
3:@0.222858:0.231239:0.227775:0.231239:0.227775:0.221691:0.222858:0.221691:0.000000
xy:@0.267096:0.231306:0.275682:0.231306:0.275682:0.221774:0.267096:0.221774:0.000000:0.000000
x y:@0.315050:0.229136:0.337494:0.229136:0.337494:0.212667:0.315050:0.212667:0.000000:0.000000:0.000000
,:@0.324528:0.229021:0.327283:0.229021:0.327283:0.212523:0.324528:0.212523:0.000000
, tal que:@0.369966:0.229021:0.426143:0.229021:0.426143:0.212523:0.369966:0.212523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a xi y j x:@0.135103:0.256131:0.230598:0.256129:0.230598:0.239660:0.135103:0.239662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.146635:0.256014:0.157442:0.256014:0.157442:0.239516:0.146635:0.239516:0.000000
+:@0.175951:0.256563:0.186528:0.256563:0.186528:0.237723:0.175951:0.237723:0.000000
= (1, 0, 0):@0.208828:0.256014:0.287526:0.256014:0.287526:0.239516:0.208828:0.239516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.289838:0.256563:0.300415:0.256563:0.300415:0.237723:0.289838:0.237723:0.000000
y:@0.304499:0.256129:0.312186:0.256129:0.312186:0.239660:0.304499:0.239660:0.000000
(0, 1, 0)=( ,  , 0),:@0.312822:0.256014:0.444153:0.256014:0.444153:0.239516:0.312822:0.239516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.390287:0.256129:0.415949:0.256129:0.415949:0.239660:0.390287:0.239660:0.000000:0.000000:0.000000
 :@0.108233:0.283243:0.112375:0.283243:0.112375:0.266745:0.108233:0.266745:0.000000
y de la definición de igualdad de elementos de :@0.131968:0.283243:0.474271:0.283243:0.474271:0.266745:0.131968:0.266745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.489318:0.276890:0.494271:0.276890:0.494271:0.267272:0.489318:0.267272:0.000000
, resulta  = x,  :@0.494215:0.283243:0.599910:0.283243:0.599910:0.266745:0.494215:0.266745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.554592:0.283359:0.563570:0.283359:0.563570:0.266890:0.554592:0.266890:0.000000
1:@0.563573:0.286520:0.568526:0.286520:0.568526:0.276901:0.563573:0.276901:0.000000
a:@0.131975:0.302213:0.140952:0.302213:0.140952:0.285744:0.131975:0.285744:0.000000
2:@0.140954:0.305379:0.145907:0.305379:0.145907:0.295761:0.140954:0.295761:0.000000
= y,   = 0. Así :@0.145908:0.302102:0.253132:0.302102:0.253132:0.285605:0.145908:0.285605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.181086:0.302218:0.190063:0.302218:0.190063:0.285749:0.181086:0.285749:0.000000
3:@0.190055:0.305379:0.195008:0.305379:0.195008:0.295761:0.190055:0.295761:0.000000
a:@0.256978:0.302218:0.265955:0.302218:0.265955:0.285749:0.256978:0.285749:0.000000
=( ,  , 0).:@0.268495:0.302102:0.342204:0.302102:0.342204:0.285605:0.268495:0.285605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.288338:0.302218:0.313999:0.302218:0.313999:0.285749:0.288338:0.285749:0.000000:0.000000:0.000000
 Todo punto   del plano ∏  tiene :@0.345975:0.302102:0.599912:0.302102:0.599912:0.285605:0.345975:0.285605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445511:0.302218:0.454488:0.302218:0.454488:0.285749:0.445511:0.285749:0.000000
=( ,  , 0).:@0.457028:0.302102:0.530737:0.302102:0.530737:0.285605:0.457028:0.285605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.476871:0.302218:0.502533:0.302218:0.502533:0.285749:0.476871:0.285749:0.000000:0.000000:0.000000
xy:@0.546400:0.305447:0.555352:0.305447:0.555352:0.295845:0.546400:0.295845:0.000000:0.000000
la tercera componente igual a cero. Asimismo, el punto del plano :@0.131978:0.320957:0.599970:0.320957:0.599970:0.304459:0.131978:0.304459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595827:0.320957:0.599970:0.320957:0.599970:0.304459:0.595827:0.304459:0.000000
 :@0.595827:0.320957:0.599970:0.320957:0.599970:0.304459:0.595827:0.304459:0.000000
∏  tiene la forma ( , 0,  ), y el punto del plano ∏  tiene la forma  :@0.131978:0.339811:0.599909:0.339821:0.599909:0.323324:0.131978:0.323314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xz:@0.144499:0.343166:0.152731:0.343166:0.152731:0.333564:0.144499:0.333564:0.000000:0.000000
x:@0.268149:0.339937:0.275624:0.339937:0.275624:0.323468:0.268149:0.323468:0.000000
z:@0.299493:0.339937:0.306140:0.339937:0.306140:0.323468:0.299493:0.323468:0.000000
yz:@0.482859:0.343166:0.491215:0.343166:0.491215:0.333564:0.482859:0.333564:0.000000:0.000000
(0,  ,  ). Por ejemplo, si cambiamos   por   = 2  + 3,   = –3  –1, :@0.131975:0.358676:0.600042:0.358676:0.600042:0.342178:0.131975:0.342178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y z:@0.154516:0.358792:0.176940:0.358792:0.176940:0.342323:0.154516:0.342323:0.000000:0.000000:0.000000
x:@0.389280:0.358792:0.396755:0.358792:0.396755:0.342323:0.389280:0.342323:0.000000
x:@0.432723:0.358792:0.440198:0.358792:0.440198:0.342323:0.432723:0.342323:0.000000
r:@0.470175:0.358792:0.476205:0.358792:0.476205:0.342323:0.470175:0.342323:0.000000
y:@0.514273:0.358792:0.521960:0.358792:0.521960:0.342323:0.514273:0.342323:0.000000
s:@0.562436:0.358792:0.568813:0.358792:0.568813:0.342323:0.562436:0.342323:0.000000
en la ecuación vectorial del plano :@0.131995:0.377530:0.377659:0.377530:0.377659:0.361033:0.131995:0.361033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.393406:0.376569:0.402136:0.376569:0.402136:0.366877:0.393406:0.366877:0.000000:0.000000
, =:@0.405541:0.374245:0.435321:0.374245:0.435321:0.357471:0.405541:0.357471:0.000000:0.000000:0.000000
x xi:@0.413043:0.374363:0.451619:0.374363:0.451619:0.357618:0.413043:0.357618:0.000000:0.000000:0.000000:0.000000
+:@0.453289:0.374216:0.468529:0.374216:0.468529:0.356530:0.453289:0.356530:0.000000
y j:@0.471859:0.374363:0.487490:0.374363:0.487490:0.357618:0.471859:0.357618:0.000000:0.000000:0.000000
,:@0.488739:0.374245:0.491540:0.374245:0.491540:0.357471:0.488739:0.357471:0.000000
x y:@0.509019:0.374363:0.536952:0.374363:0.536952:0.357618:0.509019:0.357618:0.000000:0.000000:0.000000
,:@0.518657:0.374245:0.521458:0.374245:0.521458:0.357471:0.518657:0.357471:0.000000
,:@0.570765:0.374245:0.573566:0.374245:0.573566:0.357471:0.570765:0.357471:0.000000
 se :@0.576195:0.377540:0.599910:0.377540:0.599910:0.361043:0.576195:0.361043:0.000000:0.000000:0.000000:0.000000
obtiene::@0.131976:0.396395:0.189329:0.396395:0.189329:0.379897:0.131976:0.379897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.225101:0.422668:0.232901:0.422668:0.232901:0.405483:0.225101:0.405483:0.000000
=(2:@0.236722:0.422547:0.265168:0.422547:0.265168:0.405332:0.236722:0.405332:0.000000:0.000000:0.000000
r:@0.265831:0.422668:0.272123:0.422668:0.272123:0.405483:0.265831:0.405483:0.000000
+:@0.275782:0.423121:0.286819:0.423121:0.286819:0.403462:0.275782:0.403462:0.000000
3):@0.289492:0.422547:0.304489:0.422547:0.304489:0.405332:0.289492:0.405332:0.000000:0.000000
i:@0.304871:0.422668:0.308831:0.422668:0.308831:0.405483:0.304871:0.405483:0.000000
+:@0.311480:0.423121:0.322516:0.423121:0.322516:0.403462:0.311480:0.403462:0.000000
( 3:@0.325190:0.422547:0.351128:0.422547:0.351128:0.405332:0.325190:0.405332:0.000000:0.000000:0.000000
s:@0.351791:0.422668:0.358445:0.422668:0.358445:0.405483:0.351791:0.405483:0.000000
1) ,:@0.373779:0.422547:0.400316:0.422547:0.400316:0.405332:0.373779:0.405332:0.000000:0.000000:0.000000:0.000000
j:@0.392092:0.422668:0.396113:0.422668:0.396113:0.405483:0.392092:0.405483:0.000000
r s:@0.422361:0.422668:0.442463:0.422668:0.442463:0.405483:0.422361:0.405483:0.000000:0.000000:0.000000
,:@0.431045:0.422547:0.433920:0.422547:0.433920:0.405332:0.431045:0.405332:0.000000
,:@0.475707:0.422547:0.478582:0.422547:0.478582:0.405332:0.475707:0.405332:0.000000
 :@0.108233:0.448374:0.112375:0.448374:0.112375:0.431877:0.108233:0.431877:0.000000
que es otra ecuación vectorial del plano ∏ .:@0.131968:0.448374:0.447793:0.448374:0.447793:0.431877:0.131968:0.431877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy  :@0.431258:0.451720:0.445039:0.451720:0.445039:0.442118:0.431258:0.442118:0.000000:0.000000:0.000000:0.000000
2.:@0.108224:0.485187:0.120496:0.485187:0.120496:0.468472:0.108224:0.468472:0.000000:0.000000
  Sean :@0.120496:0.484971:0.169758:0.484971:0.169758:0.468473:0.120496:0.468473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.174098:0.485077:0.183076:0.485077:0.183076:0.468609:0.174098:0.468609:0.000000
=(1, 1, 0),:@0.185616:0.484962:0.256049:0.484962:0.256049:0.468464:0.185616:0.468464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.259745:0.484969:0.263887:0.484969:0.263887:0.468472:0.259745:0.468472:0.000000
b:@0.267790:0.485085:0.277056:0.485085:0.277056:0.468616:0.267790:0.468616:0.000000
=(0, 1, 1),:@0.279726:0.484969:0.348965:0.484969:0.348965:0.468472:0.279726:0.468472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.352180:0.484969:0.356322:0.484969:0.356322:0.468472:0.352180:0.468472:0.000000
c:@0.361273:0.485085:0.368459:0.485085:0.368459:0.468616:0.361273:0.468616:0.000000
=(1, 0, 1).:@0.371586:0.484969:0.442020:0.484969:0.442020:0.468472:0.371586:0.468472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 El plano  que pasa :@0.444616:0.484969:0.599904:0.484969:0.599904:0.468472:0.444616:0.468472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ :@0.513219:0.485006:0.530050:0.485006:0.530050:0.468343:0.513219:0.468343:0.000000:0.000000
por , y está generado por los vectores:@0.131970:0.502942:0.406141:0.502947:0.406141:0.486450:0.131970:0.486444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.157271:0.502984:0.161454:0.502984:0.161454:0.486322:0.157271:0.486322:0.000000
a b c:@0.163209:0.503390:0.203479:0.503390:0.203479:0.486921:0.163209:0.486921:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.173103:0.503274:0.192401:0.503274:0.192401:0.486777:0.173103:0.486777:0.000000:0.000000:0.000000
3:@0.238908:0.495237:0.243826:0.495237:0.243826:0.485689:0.238908:0.485689:0.000000
,:@0.246708:0.503274:0.249463:0.503274:0.249463:0.486777:0.246708:0.486777:0.000000
=:@0.179908:0.530110:0.190716:0.530110:0.190716:0.513612:0.179908:0.513612:0.000000
x a ub vc u v:@0.202892:0.530226:0.335729:0.530226:0.335729:0.513757:0.202892:0.513757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.213989:0.530110:0.224797:0.530110:0.224797:0.513612:0.213989:0.513612:0.000000
+:@0.237809:0.530081:0.252798:0.530081:0.252798:0.512687:0.237809:0.512687:0.000000
+:@0.273931:0.530081:0.288919:0.530081:0.288919:0.512687:0.273931:0.512687:0.000000
| ,:@0.308064:0.530110:0.327406:0.530110:0.327406:0.513612:0.308064:0.513612:0.000000:0.000000:0.000000
{:@0.192630:0.535572:0.202263:0.535572:0.202263:0.504958:0.192630:0.504958:0.000000
}:@0.367693:0.535572:0.377326:0.535572:0.377326:0.504958:0.367693:0.504958:0.000000
,:@0.378582:0.530110:0.381336:0.530110:0.381336:0.513612:0.378582:0.513612:0.000000
 :@0.406154:0.502984:0.410338:0.502984:0.410338:0.486322:0.406154:0.486322:0.000000
a b c:@0.397014:0.503336:0.437285:0.503336:0.437285:0.486867:0.397014:0.486867:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.406910:0.503220:0.426208:0.503220:0.426208:0.486723:0.406910:0.486723:0.000000:0.000000:0.000000
3:@0.472715:0.495185:0.477632:0.495185:0.477632:0.485636:0.472715:0.485636:0.000000
,:@0.480515:0.503220:0.483270:0.503220:0.483270:0.486723:0.480515:0.486723:0.000000
=:@0.413715:0.530056:0.424522:0.530056:0.424522:0.513558:0.413715:0.513558:0.000000
x a ub vc u v:@0.436698:0.530172:0.569535:0.530172:0.569535:0.513703:0.436698:0.513703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.447796:0.530056:0.458604:0.530056:0.458604:0.513558:0.447796:0.513558:0.000000
+:@0.471616:0.530027:0.486604:0.530027:0.486604:0.512633:0.471616:0.512633:0.000000
+:@0.507738:0.530027:0.522726:0.530027:0.522726:0.512633:0.507738:0.512633:0.000000
| ,:@0.541871:0.530056:0.561213:0.530056:0.561213:0.513558:0.541871:0.513558:0.000000:0.000000:0.000000
{:@0.426436:0.535518:0.436069:0.535518:0.436069:0.504904:0.426436:0.504904:0.000000
}:@0.601500:0.535518:0.611132:0.535518:0.611132:0.504904:0.601500:0.504904:0.000000
,:@0.612388:0.530056:0.615143:0.530056:0.615143:0.513558:0.612388:0.513558:0.000000
 :@0.443003:0.502984:0.447186:0.502984:0.447186:0.486322:0.443003:0.486322:0.000000
es el conjunto defini-:@0.446878:0.502947:0.595760:0.502947:0.595760:0.486450:0.446878:0.486450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do como::@0.131968:0.520298:0.199972:0.520298:0.199972:0.503801:0.131968:0.503801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108234:0.550851:0.112376:0.550851:0.112376:0.534353:0.108234:0.534353:0.000000
=:@0.152498:0.540792:0.163306:0.540792:0.163306:0.524295:0.152498:0.524295:0.000000
x:@0.175481:0.540908:0.182956:0.540908:0.182956:0.524439:0.175481:0.524439:0.000000
=(1, 1, 0):@0.186579:0.540792:0.254605:0.540792:0.254605:0.524295:0.186579:0.524295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.256916:0.541342:0.267493:0.541342:0.267493:0.522502:0.256916:0.522502:0.000000
u:@0.269593:0.540908:0.278802:0.540908:0.278802:0.524439:0.269593:0.524439:0.000000
(0, 1, 1):@0.278763:0.540792:0.332456:0.540792:0.332456:0.524295:0.278763:0.524295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.334767:0.541342:0.345344:0.541342:0.345344:0.522502:0.334767:0.522502:0.000000
v:@0.347444:0.540908:0.355227:0.540908:0.355227:0.524439:0.347444:0.524439:0.000000
(1, 0, 1)| , :@0.355766:0.540792:0.437432:0.540792:0.437432:0.524295:0.355766:0.524295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.418475:0.540908:0.445061:0.540908:0.445061:0.524439:0.418475:0.524439:0.000000:0.000000:0.000000
{:@0.165220:0.546926:0.174467:0.546926:0.174467:0.513390:0.165220:0.513390:0.000000
}:@0.476238:0.546926:0.485485:0.546926:0.485485:0.513390:0.476238:0.513390:0.000000
.:@0.486395:0.540792:0.489150:0.540792:0.489150:0.524295:0.486395:0.524295:0.000000
 :@0.108233:0.568375:0.112375:0.568375:0.112375:0.551877:0.108233:0.551877:0.000000
Por las propiedades de la adicición y producto por escalares en  , :@0.131968:0.568375:0.599909:0.568375:0.599909:0.551877:0.131968:0.551877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.588067:0.561997:0.593070:0.561997:0.593070:0.552283:0.588067:0.552283:0.000000
 :@0.595767:0.568375:0.599909:0.568375:0.599909:0.551877:0.595767:0.551877:0.000000
se tiene :@0.131975:0.588097:0.190386:0.588097:0.190386:0.571599:0.131975:0.571599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.209892:0.588236:0.220378:0.588236:0.220378:0.572229:0.209892:0.572229:0.000000
x:@0.231836:0.588348:0.239088:0.588348:0.239088:0.572370:0.231836:0.572370:0.000000
=(1:@0.242602:0.588236:0.269033:0.588236:0.269033:0.572229:0.242602:0.572229:0.000000:0.000000:0.000000
+:@0.270341:0.588769:0.280603:0.588769:0.280603:0.570490:0.270341:0.570490:0.000000
v:@0.283388:0.588348:0.290939:0.588348:0.290939:0.572370:0.283388:0.572370:0.000000
, 1:@0.292584:0.588236:0.309014:0.588236:0.309014:0.572229:0.292584:0.572229:0.000000:0.000000:0.000000
+:@0.310323:0.588769:0.320585:0.588769:0.320585:0.570490:0.310323:0.570490:0.000000
u u v u v:@0.323370:0.588348:0.413371:0.588348:0.413371:0.572370:0.323370:0.572370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.333370:0.588236:0.341762:0.588236:0.341762:0.572229:0.333370:0.572229:0.000000:0.000000
+:@0.353501:0.588769:0.363763:0.588769:0.363763:0.570490:0.353501:0.570490:0.000000
)| , :@0.374212:0.588236:0.405969:0.588236:0.405969:0.572229:0.374212:0.572229:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.221880:0.593631:0.230852:0.593631:0.230852:0.564750:0.221880:0.564750:0.000000
}:@0.447153:0.593631:0.456126:0.593631:0.456126:0.564750:0.447153:0.564750:0.000000
.:@0.457001:0.588236:0.459674:0.588236:0.459674:0.572229:0.457001:0.572229:0.000000
 Luego,:@0.464297:0.588096:0.514404:0.588096:0.514404:0.571598:0.464297:0.571598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ,  ,  ):@0.130218:0.612575:0.189399:0.612422:0.189399:0.595924:0.130218:0.596077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.140793:0.612538:0.183388:0.612538:0.183388:0.596069:0.140793:0.596069:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.257584:0.612538:0.278968:0.612538:0.278968:0.596069:0.257584:0.596069:0.000000:0.000000:0.000000
,:@0.267891:0.612422:0.270646:0.612422:0.270646:0.595924:0.267891:0.595924:0.000000
, tal que ( ,  ,  )=(1:@0.311349:0.612422:0.457476:0.612422:0.457476:0.595924:0.311349:0.595924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.378893:0.612538:0.421489:0.612538:0.421489:0.596069:0.378893:0.596069:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.458035:0.613058:0.468611:0.613058:0.468611:0.596777:0.458035:0.596777:0.000000
v:@0.470711:0.612538:0.478495:0.612538:0.478495:0.596069:0.470711:0.596069:0.000000
, 1:@0.480190:0.612422:0.497124:0.612422:0.497124:0.595924:0.480190:0.595924:0.000000:0.000000:0.000000
+:@0.497721:0.613058:0.508298:0.613058:0.508298:0.596777:0.497721:0.596777:0.000000
u u v:@0.510398:0.612538:0.561162:0.612538:0.561162:0.596069:0.510398:0.596069:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.520705:0.612422:0.529355:0.612422:0.529355:0.595924:0.520705:0.595924:0.000000:0.000000
+:@0.540702:0.613058:0.551279:0.613058:0.551279:0.596777:0.540702:0.596777:0.000000
).  :@0.561277:0.612422:0.577928:0.612574:0.577928:0.596076:0.561277:0.595924:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.637227:0.112383:0.637227:0.112383:0.620729:0.108241:0.620729:0.000000
De la definición de igualdad de elementos de :@0.131976:0.637227:0.461522:0.637227:0.461522:0.620729:0.131976:0.620729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3   :@0.476045:0.630848:0.489034:0.630848:0.489034:0.621134:0.476045:0.621134:0.000000:0.000000:0.000000:0.000000
se obtienen las :@0.489384:0.637226:0.599926:0.637226:0.599926:0.620728:0.489384:0.620728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones :@0.131975:0.654577:0.214852:0.654577:0.214852:0.638079:0.131975:0.638079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paramétricas:@0.214852:0.654794:0.311195:0.654794:0.311195:0.638079:0.214852:0.638079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del plano: :@0.311199:0.654577:0.388414:0.654577:0.388414:0.638079:0.311199:0.638079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏::@0.131971:0.697768:0.147401:0.697768:0.147401:0.681105:0.131971:0.681105:0.000000:0.000000
x:@0.175723:0.676984:0.183198:0.676984:0.183198:0.660516:0.175723:0.660516:0.000000
=1:@0.186820:0.676869:0.207665:0.676869:0.207665:0.660371:0.186820:0.660371:0.000000:0.000000
+:@0.208282:0.677505:0.218858:0.677505:0.218858:0.661224:0.208282:0.661224:0.000000
v:@0.220958:0.676984:0.228741:0.676984:0.228741:0.660516:0.220958:0.660516:0.000000
,:@0.230437:0.676869:0.233192:0.676869:0.233192:0.660371:0.230437:0.660371:0.000000
y:@0.176147:0.697849:0.183834:0.697849:0.183834:0.681380:0.176147:0.681380:0.000000
=1:@0.187244:0.697733:0.208089:0.697733:0.208089:0.681235:0.187244:0.681235:0.000000:0.000000
+:@0.208706:0.698369:0.219282:0.698369:0.219282:0.682088:0.208706:0.682088:0.000000
u:@0.221382:0.697849:0.230591:0.697849:0.230591:0.681380:0.221382:0.681380:0.000000
, donde  ,        son los parámetros.:@0.231689:0.697733:0.502046:0.697731:0.502046:0.681233:0.231689:0.681235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z u v:@0.175723:0.720520:0.230321:0.720520:0.230321:0.704051:0.175723:0.704051:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.185626:0.720405:0.196434:0.720405:0.196434:0.703907:0.185626:0.703907:0.000000
+:@0.209861:0.721041:0.220438:0.721041:0.220438:0.704760:0.209861:0.704760:0.000000
,:@0.232017:0.720405:0.234771:0.720405:0.234771:0.703907:0.232017:0.703907:0.000000
u v:@0.299787:0.697847:0.323676:0.697847:0.323676:0.681378:0.299787:0.681378:0.000000:0.000000:0.000000
Ecuación cartesiana del plano:@0.108233:0.755428:0.348463:0.755428:0.348463:0.737569:0.108233:0.737569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De las ecuaciones paramétricas podemos obtener la :@0.108233:0.772093:0.478353:0.772093:0.478353:0.755595:0.108233:0.755595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación carte-:@0.477679:0.772556:0.595760:0.772556:0.595760:0.755610:0.477679:0.755610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siana:@0.108233:0.790080:0.147611:0.790080:0.147611:0.773134:0.108233:0.773134:0.000000:0.000000:0.000000:0.000000:0.000000
 que representa el plano  . Para el efecto, se deben eliminar los :@0.147611:0.789617:0.599877:0.789617:0.599877:0.773119:0.147611:0.773119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.323738:0.789654:0.336385:0.789654:0.336385:0.772991:0.323738:0.772991:0.000000
parámetros:@0.108227:0.807185:0.193146:0.807185:0.193146:0.790470:0.108227:0.790470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   y  de estas tres ecuaciones. De la primera se obtiene :@0.193148:0.806968:0.599930:0.806968:0.599930:0.790470:0.193148:0.790470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v :@0.198196:0.807084:0.237247:0.807084:0.237247:0.790615:0.198196:0.790615:0.000000:0.000000:0.000000:0.000000
 :@0.595754:0.806968:0.599896:0.806968:0.599896:0.790470:0.595754:0.790470:0.000000
v  x:@0.108227:0.824434:0.141614:0.824434:0.141614:0.807966:0.108227:0.807966:0.000000:0.000000:0.000000:0.000000
=   – 1; de la segunda se tiene   =   – 1; reemplazamos en la tercera. :@0.119671:0.824319:0.599911:0.824319:0.599911:0.807821:0.119671:0.807821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u y  :@0.331991:0.824434:0.385317:0.824434:0.385317:0.807966:0.331991:0.807966:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces,  =:@0.108227:0.841669:0.204808:0.841669:0.204808:0.825172:0.108227:0.825172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z u v x:@0.184098:0.841785:0.263779:0.841785:0.263779:0.825316:0.184098:0.825316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.218236:0.842306:0.228813:0.842306:0.228813:0.826025:0.218236:0.826025:0.000000
=:@0.242009:0.841669:0.252817:0.841669:0.252817:0.825172:0.242009:0.825172:0.000000
1:@0.279272:0.841669:0.287768:0.841669:0.287768:0.825172:0.279272:0.825172:0.000000
+:@0.288384:0.842306:0.298961:0.842306:0.298961:0.826025:0.288384:0.826025:0.000000
y:@0.303045:0.841785:0.310732:0.841785:0.310732:0.825316:0.303045:0.825316:0.000000
1=:@0.326021:0.841669:0.346365:0.841669:0.346365:0.825172:0.326021:0.825172:0.000000:0.000000
x y:@0.349852:0.841785:0.382873:0.841785:0.382873:0.825316:0.349852:0.825316:0.000000:0.000000:0.000000
+:@0.360525:0.842306:0.371102:0.842306:0.371102:0.826025:0.360525:0.826025:0.000000
2.:@0.398947:0.841669:0.410121:0.841669:0.410121:0.825172:0.398947:0.825172:0.000000:0.000000
Así,   +   –   = 2. Esta es la ecuación cartesiana del plano :@0.108233:0.866323:0.512821:0.866323:0.512821:0.849825:0.108233:0.849825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.137343:0.866438:0.197027:0.866438:0.197027:0.849969:0.137343:0.849969:0.000000:0.000000:0.000000:0.000000:0.000000
∏.:@0.512815:0.866359:0.528245:0.866359:0.528245:0.849697:0.512815:0.849697:0.000000:0.000000
Tenemos así, :@0.108227:0.894004:0.202928:0.894004:0.202928:0.877341:0.108227:0.877341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.223454:0.893973:0.234262:0.893973:0.234262:0.877475:0.223454:0.877475:0.000000
x:@0.246438:0.894089:0.253913:0.894089:0.253913:0.877620:0.246438:0.877620:0.000000
=(1, 1, 0):@0.257535:0.893973:0.325561:0.893973:0.325561:0.877475:0.257535:0.877475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.327873:0.894523:0.338450:0.894523:0.338450:0.875682:0.327873:0.875682:0.000000
u:@0.340549:0.894089:0.349758:0.894089:0.349758:0.877620:0.340549:0.877620:0.000000
(0, 1, 1):@0.349720:0.893973:0.403412:0.893973:0.403412:0.877475:0.349720:0.877475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.405724:0.894523:0.416300:0.894523:0.416300:0.875682:0.405724:0.875682:0.000000
v:@0.418400:0.894089:0.426183:0.894089:0.426183:0.877620:0.418400:0.877620:0.000000
(1, 0, 1)| ,:@0.426723:0.893973:0.502493:0.893973:0.502493:0.877475:0.426723:0.877475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.489431:0.894089:0.510816:0.894089:0.510816:0.877620:0.489431:0.877620:0.000000:0.000000:0.000000
{:@0.236176:0.900106:0.245423:0.900106:0.245423:0.866571:0.236176:0.866571:0.000000
}:@0.542012:0.900106:0.551259:0.900106:0.551259:0.866571:0.542012:0.866571:0.000000
=:@0.229760:0.922972:0.240568:0.922972:0.240568:0.906474:0.229760:0.906474:0.000000
x:@0.252743:0.923087:0.260218:0.923087:0.260218:0.906618:0.252743:0.906618:0.000000
=( ,  ,  ):@0.263841:0.922972:0.332290:0.922972:0.332290:0.906474:0.263841:0.906474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.283684:0.923087:0.326280:0.923087:0.326280:0.906618:0.283684:0.906618:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.363256:0.914936:0.368174:0.914936:0.368174:0.905387:0.363256:0.905387:0.000000
|:@0.371475:0.922972:0.376484:0.922972:0.376484:0.906474:0.371475:0.906474:0.000000
x y z:@0.379335:0.923087:0.436231:0.923087:0.436231:0.906618:0.379335:0.906618:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.390008:0.923521:0.400585:0.923521:0.400585:0.904681:0.390008:0.904681:0.000000
=2 .:@0.439487:0.922972:0.474220:0.922972:0.474220:0.906474:0.439487:0.906474:0.000000:0.000000:0.000000:0.000000
{:@0.242482:0.929104:0.251729:0.929104:0.251729:0.895569:0.242482:0.895569:0.000000
}:@0.461316:0.929104:0.470563:0.929104:0.470563:0.895569:0.461316:0.895569:0.000000
Recuerda que…:@0.684804:0.101811:0.794564:0.101811:0.794564:0.086338:0.684804:0.086338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el sistema de referen-:@0.685042:0.130438:0.841171:0.130438:0.841171:0.115375:0.685042:0.115375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cia tridimensional, tenemos tres :@0.638498:0.146280:0.847466:0.146280:0.847466:0.131217:0.638498:0.131217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planos mutuamente perpen-:@0.638498:0.162122:0.826149:0.162122:0.826149:0.147059:0.638498:0.147059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diculares que se denominan :@0.638498:0.177964:0.823772:0.177964:0.823772:0.162901:0.638498:0.162901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano  , plano  , plano   que :@0.638498:0.193806:0.845742:0.193806:0.845742:0.178743:0.638498:0.178743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.679307:0.193912:0.693326:0.193912:0.693326:0.178875:0.679307:0.178875:0.000000:0.000000
xz:@0.740432:0.193912:0.753326:0.193912:0.753326:0.178875:0.740432:0.178875:0.000000:0.000000
yz:@0.800432:0.193912:0.813519:0.193912:0.813519:0.178875:0.800432:0.178875:0.000000:0.000000
se denotan :@0.638498:0.211325:0.714696:0.211325:0.714696:0.196262:0.638498:0.196262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏ ∏ ∏:@0.714702:0.211688:0.788301:0.211688:0.788301:0.195025:0.714702:0.195025:0.000000:0.000000:0.000000:0.000000:0.000000
xy :@0.727350:0.214998:0.739102:0.214998:0.739102:0.205284:0.727350:0.205284:0.000000:0.000000:0.000000
, :@0.739102:0.211330:0.745399:0.211330:0.745399:0.196267:0.739102:0.196267:0.000000:0.000000
xz :@0.758047:0.214998:0.769357:0.214998:0.769357:0.205284:0.758047:0.205284:0.000000:0.000000:0.000000
, :@0.769356:0.211330:0.775654:0.211330:0.775654:0.196267:0.769356:0.196267:0.000000:0.000000
yz :@0.788300:0.214998:0.799508:0.214998:0.799508:0.205284:0.788300:0.205284:0.000000:0.000000:0.000000
. Por :@0.799507:0.211330:0.831433:0.211330:0.831433:0.196267:0.799507:0.196267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro lado, los vectores de :@0.638506:0.228849:0.804622:0.228849:0.804622:0.213786:0.638506:0.213786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.804620:0.228206:0.818530:0.228206:0.818530:0.214760:0.804620:0.214760:0.000000
3:@0.818530:0.222822:0.823483:0.222822:0.823483:0.213204:0.818530:0.213204:0.000000
,:@0.823483:0.229175:0.826238:0.229175:0.826238:0.212677:0.823483:0.212677:0.000000
 :@0.826237:0.229212:0.830421:0.229212:0.830421:0.212549:0.826237:0.212549:0.000000
definidos como: :@0.638503:0.244697:0.747015:0.244697:0.747015:0.229633:0.638503:0.229633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.643687:0.261150:0.647102:0.261150:0.647102:0.246328:0.643687:0.246328:0.000000
=(1,0,0), =(0,1,0), =(0,0,1),:@0.649717:0.261046:0.837205:0.261046:0.837205:0.246198:0.649717:0.246198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.710299:0.261150:0.713767:0.261150:0.713767:0.246328:0.710299:0.246328:0.000000
k:@0.773333:0.261150:0.780754:0.261150:0.780754:0.246328:0.773333:0.246328:0.000000
son unitarios y ortogonales; es :@0.638503:0.287388:0.837971:0.287388:0.837971:0.272325:0.638503:0.272325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir,  :@0.638503:0.303230:0.679910:0.303230:0.679910:0.288167:0.638503:0.288167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
||i|| :@0.638503:0.319178:0.663411:0.319178:0.663411:0.304141:0.638503:0.304141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1:@0.663411:0.319072:0.684818:0.319072:0.684818:0.304009:0.663411:0.304009:0.000000:0.000000:0.000000
, ||j|| :@0.684818:0.319178:0.716163:0.319178:0.716163:0.304141:0.684818:0.304141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1, :@0.716163:0.319072:0.743868:0.319072:0.743868:0.304009:0.716163:0.304009:0.000000:0.000000:0.000000:0.000000:0.000000
||k|| :@0.743868:0.319178:0.772838:0.319178:0.772838:0.304141:0.743868:0.304141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1:@0.772838:0.319072:0.794245:0.319072:0.794245:0.304009:0.772838:0.304009:0.000000:0.000000:0.000000
,  :@0.794245:0.319178:0.804412:0.319178:0.804412:0.304141:0.794245:0.304141:0.000000:0.000000:0.000000
i . j =  i . k =  j . k = :@0.638503:0.337528:0.776796:0.337528:0.776796:0.322491:0.638503:0.322491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0, :@0.672540:0.337422:0.686594:0.337422:0.686594:0.322359:0.672540:0.322359:0.000000:0.000000:0.000000
0, :@0.724642:0.337422:0.738696:0.337422:0.738696:0.322359:0.724642:0.322359:0.000000:0.000000:0.000000
0.:@0.776796:0.337422:0.787069:0.337422:0.787069:0.322359:0.776796:0.322359:0.000000:0.000000
Glosario:@0.684804:0.424453:0.752269:0.424453:0.752269:0.406771:0.684804:0.406771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paramétrica::@0.685042:0.451267:0.768188:0.451267:0.768188:0.436006:0.685042:0.436006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 pertene-:@0.768014:0.451069:0.826026:0.451069:0.826026:0.436006:0.768014:0.436006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente o relativo al parámetro.:@0.638498:0.466911:0.825215:0.466911:0.825215:0.451848:0.638498:0.451848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parámetro: :@0.638498:0.482951:0.715033:0.482951:0.715033:0.467690:0.638498:0.467690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variable que, en una :@0.714857:0.482753:0.844458:0.482753:0.844458:0.467690:0.714857:0.467690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
familia de elementos, sirve para :@0.638498:0.498595:0.839234:0.498595:0.839234:0.483532:0.638498:0.483532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificar cada uno de ellos :@0.638498:0.514437:0.819862:0.514437:0.819862:0.499374:0.638498:0.499374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante su valor numérico:@0.638498:0.530279:0.816703:0.530279:0.816703:0.515216:0.638498:0.515216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.428185:0.643474:0.426676:0.638272:0.404531:0.626867:0.406040:0.000000
c:@0.635451:0.439154:0.646050:0.437752:0.640968:0.416117:0.630369:0.417520:0.000000
b:@0.645827:0.431937:0.658540:0.430254:0.653408:0.408412:0.640695:0.410094:0.000000
Interculturalidad:@0.684804:0.598255:0.805118:0.598255:0.805118:0.582782:0.684804:0.582782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todas las culturas tienen :@0.678232:0.626186:0.841078:0.626186:0.841078:0.611122:0.678232:0.611122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mitos, tradiciones y leyendas. :@0.638496:0.642028:0.830929:0.642028:0.830929:0.626964:0.638496:0.626964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la cultura nórdica, los núme-:@0.638496:0.657870:0.843998:0.657870:0.843998:0.642806:0.638496:0.642806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ros 3 y 9 tienen especial relevan-:@0.638496:0.673712:0.846637:0.673712:0.846637:0.658648:0.638496:0.658648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cia,  son considerados números :@0.638496:0.689554:0.844982:0.689554:0.844982:0.674490:0.638496:0.674490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sagrados. Según la mitología, de :@0.638496:0.705396:0.848341:0.705396:0.848341:0.690332:0.638496:0.690332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la era vikinga, tenían tres dioses :@0.638496:0.721238:0.844331:0.721238:0.844331:0.706174:0.638496:0.706174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principales: Odín, Thor y Freyr. :@0.638496:0.737080:0.838139:0.737080:0.838139:0.722016:0.638496:0.722016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El árbol de la vida sujeta con :@0.638496:0.752921:0.826002:0.752921:0.826002:0.737858:0.638496:0.737858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus ramas a nueve mundos y :@0.638496:0.768763:0.828801:0.768763:0.828801:0.753700:0.638496:0.753700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen también nueve reinos :@0.638496:0.784605:0.828238:0.784605:0.828238:0.769542:0.638496:0.769542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
celestiales.:@0.638496:0.800447:0.704772:0.800447:0.704772:0.785384:0.638496:0.785384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga confecciona:@0.638496:0.827300:0.779955:0.827300:0.779955:0.812039:0.638496:0.812039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.683896:0.827102:0.698601:0.827102:0.698601:0.812039:0.683896:0.812039:0.000000:0.000000:0.000000
 un ensa-:@0.779955:0.827102:0.839092:0.827102:0.839092:0.812039:0.779955:0.812039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yo acerca de la cultura nórdica.:@0.638496:0.842944:0.839300:0.842944:0.839300:0.827881:0.638496:0.827881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000