94:@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
6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000
Sean  ,:@0.115354:0.171314:0.172396:0.171214:0.172396:0.154825:0.115354:0.154925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.158562:0.160063:0.182242:0.160063:0.182242:0.143315:0.158562:0.143315:0.000000:0.000000:0.000000
:@0.202852:0.172086:0.216157:0.172086:0.216157:0.155337:0.202852:0.155337:0.000000
:@0.257401:0.160063:0.266836:0.160063:0.266836:0.143315:0.257401:0.143315:0.000000:0.000000
:@0.330264:0.160063:0.337820:0.160063:0.337820:0.143315:0.330264:0.143315:0.000000
.:@0.223478:0.171214:0.226684:0.171214:0.226684:0.154825:0.223478:0.154825:0.000000
con:@0.226887:0.171214:0.254399:0.171214:0.254399:0.154825:0.226887:0.154825:0.000000:0.000000:0.000000
.:@0.253257:0.171214:0.256463:0.171214:0.256463:0.154825:0.253257:0.154825:0.000000
,:@0.299750:0.171214:0.302956:0.171214:0.302956:0.154825:0.299750:0.154825:0.000000
.:@0.303878:0.171214:0.307084:0.171214:0.307084:0.154825:0.303878:0.154825:0.000000
,:@0.324778:0.171214:0.327984:0.171214:0.327984:0.154825:0.324778:0.154825:0.000000
,:@0.369797:0.171214:0.373003:0.171214:0.373003:0.154825:0.369797:0.154825:0.000000
.:@0.373936:0.171214:0.377143:0.171214:0.377143:0.154825:0.373936:0.154825:0.000000
2:@0.216934:0.163552:0.222146:0.163552:0.222146:0.154054:0.216934:0.154054:0.000000
(:@0.283054:0.174346:0.289191:0.174346:0.289191:0.154413:0.283054:0.154413:0.000000
):@0.317182:0.174346:0.323319:0.174346:0.323319:0.154413:0.317182:0.154413:0.000000
(:@0.354252:0.174346:0.360388:0.174346:0.360388:0.154413:0.354252:0.154413:0.000000
):@0.388380:0.174346:0.394516:0.174346:0.394516:0.154413:0.388380:0.154413:0.000000
∈:@0.186361:0.171892:0.199500:0.171892:0.199500:0.156319:0.186361:0.156319:0.000000
=:@0.270391:0.171892:0.280508:0.171892:0.280508:0.156319:0.270391:0.156319:0.000000
=:@0.341577:0.171892:0.351694:0.171892:0.351694:0.156319:0.341577:0.156319:0.000000
AB:@0.159291:0.171214:0.182584:0.171214:0.182584:0.154853:0.159291:0.154853:0.000000:0.000000
A:@0.258137:0.171214:0.268032:0.171214:0.268032:0.154853:0.258137:0.154853:0.000000
a bB:@0.289869:0.171214:0.338187:0.171214:0.338187:0.154853:0.289869:0.154853:0.000000:0.000000:0.000000:0.000000
cd:@0.361074:0.171214:0.386983:0.171214:0.386983:0.154853:0.361074:0.154853:0.000000:0.000000
Actividad resuelta:@0.115209:0.738214:0.272331:0.738214:0.272331:0.719777:0.115209:0.719777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.115209:0.760937:0.145191:0.760937:0.145191:0.744549:0.115209:0.744549:0.000000:0.000000:0.000000:0.000000
:@0.144413:0.749423:0.153848:0.749423:0.153848:0.732675:0.144413:0.732675:0.000000:0.000000
:@0.215452:0.749423:0.223007:0.749423:0.223007:0.732675:0.215452:0.732675:0.000000
:@0.291097:0.749423:0.301011:0.749423:0.301011:0.732675:0.291097:0.732675:0.000000:0.000000
2, 6,:@0.176504:0.760575:0.213175:0.760575:0.213175:0.744186:0.176504:0.744186:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.189809:0.760575:0.193015:0.760575:0.193015:0.744186:0.189809:0.744186:0.000000
–1, 2,:@0.246253:0.760575:0.289023:0.760575:0.289023:0.744186:0.246253:0.744186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.266026:0.760575:0.269232:0.760575:0.269232:0.744186:0.266026:0.744186:0.000000
5, 2  los vértices de un triángulo. :@0.323667:0.760575:0.565545:0.760935:0.565545:0.744546:0.323667:0.744186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.336548:0.760575:0.339755:0.760575:0.339755:0.744186:0.336548:0.744186:0.000000
(:@0.170066:0.763707:0.176203:0.763707:0.176203:0.743774:0.170066:0.743774:0.000000
):@0.202370:0.763707:0.208506:0.763707:0.208506:0.743774:0.202370:0.743774:0.000000
(:@0.239428:0.763707:0.245564:0.763707:0.245564:0.743774:0.239428:0.743774:0.000000
):@0.278218:0.763707:0.284354:0.763707:0.284354:0.743774:0.278218:0.743774:0.000000
(:@0.317229:0.763707:0.323366:0.763707:0.323366:0.743774:0.317229:0.743774:0.000000
):@0.348741:0.763707:0.354877:0.763707:0.354877:0.743774:0.348741:0.743774:0.000000
=:@0.157396:0.761253:0.167513:0.761253:0.167513:0.745680:0.157396:0.745680:0.000000
=:@0.226758:0.761253:0.236875:0.761253:0.236875:0.745680:0.226758:0.745680:0.000000
=:@0.304559:0.761253:0.314676:0.761253:0.314676:0.745680:0.304559:0.745680:0.000000
A:@0.145147:0.760575:0.155043:0.760575:0.155043:0.744214:0.145147:0.744214:0.000000
B:@0.214509:0.760575:0.223354:0.760575:0.223354:0.744214:0.214509:0.744214:0.000000
C:@0.290368:0.760575:0.300283:0.760575:0.300283:0.744214:0.290368:0.744214:0.000000
Calculemos:@0.565545:0.760935:0.654108:0.760935:0.654108:0.744311:0.565545:0.744311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el perímetro y :@0.654108:0.760935:0.764489:0.760935:0.764489:0.744546:0.654108:0.744546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representamos:@0.764489:0.760935:0.879570:0.760935:0.879570:0.744311:0.764489:0.744311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879570:0.760935:0.883606:0.760935:0.883606:0.744546:0.879570:0.744546:0.000000
gráficamente.:@0.115214:0.784654:0.215845:0.784654:0.215845:0.768265:0.115214:0.768265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.136829:0.804268:0.160509:0.804268:0.160509:0.787519:0.136829:0.787519:0.000000:0.000000:0.000000
:@0.189551:0.804268:0.222592:0.804268:0.222592:0.787519:0.189551:0.787519:0.000000:0.000000:0.000000
:@0.137039:0.832243:0.161197:0.832243:0.161197:0.815494:0.137039:0.815494:0.000000:0.000000:0.000000
:@0.136836:0.859903:0.162653:0.859903:0.162653:0.843155:0.136836:0.843155:0.000000:0.000000:0.000000:0.000000
:@0.162174:0.887564:0.185854:0.887564:0.185854:0.870815:0.162174:0.870815:0.000000:0.000000:0.000000
:@0.226450:0.887564:0.250608:0.887564:0.250608:0.870815:0.226450:0.870815:0.000000:0.000000:0.000000
:@0.290799:0.887564:0.316616:0.887564:0.316616:0.870815:0.290799:0.870815:0.000000:0.000000:0.000000:0.000000
,:@0.147450:0.815425:0.150657:0.815425:0.150657:0.799036:0.147450:0.799036:0.000000
–:@0.202365:0.815425:0.211579:0.815425:0.211579:0.799036:0.202365:0.799036:0.000000
2– –1:@0.263416:0.815425:0.311512:0.815425:0.311512:0.799036:0.263416:0.799036:0.000000:0.000000:0.000000:0.000000:0.000000
6–2:@0.349473:0.815425:0.381927:0.815419:0.381927:0.799030:0.349473:0.799036:0.000000:0.000000:0.000000
5:@0.412296:0.815419:0.421288:0.815419:0.421288:0.799030:0.412296:0.799030:0.000000
,:@0.145991:0.843394:0.149198:0.843394:0.149198:0.827005:0.145991:0.827005:0.000000
6:@0.184210:0.843394:0.193203:0.843394:0.193203:0.827005:0.184210:0.827005:0.000000
,:@0.147465:0.871054:0.150672:0.871054:0.150672:0.854665:0.147465:0.854665:0.000000
5:@0.185316:0.871054:0.194309:0.871054:0.194309:0.854665:0.185316:0.854665:0.000000
,:@0.172803:0.898715:0.176010:0.898715:0.176010:0.882326:0.172803:0.882326:0.000000
,:@0.235421:0.898715:0.238627:0.898715:0.238627:0.882326:0.235421:0.882326:0.000000
,:@0.301428:0.898715:0.304635:0.898715:0.304635:0.882326:0.301428:0.882326:0.000000
16:@0.338136:0.898715:0.355919:0.898715:0.355919:0.882326:0.338136:0.882326:0.000000:0.000000
2:@0.321788:0.805007:0.326999:0.805007:0.326999:0.795509:0.321788:0.795509:0.000000
2:@0.388482:0.805872:0.393694:0.805872:0.393694:0.796374:0.388482:0.796374:0.000000
( ):@0.129658:0.821659:0.168042:0.821659:0.168042:0.795497:0.129658:0.795497:0.000000:0.000000:0.000000
( ):@0.129658:0.849634:0.168522:0.849634:0.168522:0.823472:0.129658:0.823472:0.000000:0.000000:0.000000
( ):@0.129658:0.877284:0.169977:0.877284:0.169977:0.851121:0.129658:0.851121:0.000000:0.000000:0.000000
( ) ( ) ( ):@0.154996:0.904956:0.323940:0.904956:0.323940:0.878793:0.154996:0.878793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.256976:0.819802:0.263112:0.819802:0.263112:0.797377:0.256976:0.797377:0.000000
):@0.315410:0.819802:0.321546:0.819802:0.321546:0.797377:0.315410:0.797377:0.000000
():@0.286502:0.818551:0.315102:0.818551:0.315102:0.798617:0.286502:0.798617:0.000000:0.000000
(:@0.342669:0.818551:0.348806:0.818551:0.348806:0.798617:0.342669:0.798617:0.000000
):@0.382086:0.818551:0.388223:0.818551:0.388223:0.798617:0.382086:0.798617:0.000000
=:@0.170701:0.816096:0.180818:0.816096:0.180818:0.800524:0.170701:0.800524:0.000000
=:@0.231789:0.816096:0.241905:0.816096:0.241905:0.800524:0.231789:0.800524:0.000000
+:@0.330529:0.816096:0.340646:0.816096:0.340646:0.800524:0.330529:0.800524:0.000000
=:@0.399633:0.816096:0.409749:0.816096:0.409749:0.800524:0.399633:0.800524:0.000000
=:@0.171172:0.844071:0.181289:0.844071:0.181289:0.828498:0.171172:0.828498:0.000000
=:@0.172646:0.871732:0.182763:0.871732:0.182763:0.856159:0.172646:0.856159:0.000000
=:@0.130502:0.899393:0.140619:0.899393:0.140619:0.883820:0.130502:0.883820:0.000000
+:@0.195109:0.899393:0.205226:0.899393:0.205226:0.883820:0.195109:0.883820:0.000000
+:@0.259661:0.899393:0.269778:0.899393:0.269778:0.883820:0.259661:0.883820:0.000000
=:@0.326627:0.899393:0.336744:0.899393:0.336744:0.883820:0.326627:0.883820:0.000000
dA B:@0.118211:0.815415:0.160871:0.815415:0.160871:0.799054:0.118211:0.799054:0.000000:0.000000:0.000000:0.000000
A B:@0.190300:0.815415:0.222953:0.815415:0.222953:0.799054:0.190300:0.799054:0.000000:0.000000:0.000000
dB C:@0.118192:0.843394:0.160465:0.843394:0.160465:0.827032:0.118192:0.827032:0.000000:0.000000:0.000000:0.000000
dA C:@0.118192:0.871054:0.161921:0.871054:0.161921:0.854693:0.118192:0.854693:0.000000:0.000000:0.000000:0.000000
Pd AB:@0.117824:0.898715:0.186190:0.898715:0.186190:0.882354:0.117824:0.882354:0.000000:0.000000:0.000000:0.000000:0.000000
dB C:@0.207603:0.898715:0.249876:0.898715:0.249876:0.882354:0.207603:0.882354:0.000000:0.000000:0.000000:0.000000
d AC:@0.272155:0.898715:0.315884:0.898715:0.315884:0.882354:0.272155:0.882354:0.000000:0.000000:0.000000:0.000000
M.5.2.7. Calcular el producto escalar entre dos vectores y la norma de un vector para determinar la distancia entre dos puntos A y B en :@0.125388:0.066065:0.767832:0.066065:0.767832:0.055636:0.125388:0.055636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.768628:0.066519:0.777232:0.066519:0.777232:0.055802:0.768628:0.055802:0.000000
2:@0.777734:0.061058:0.781105:0.061058:0.781105:0.054980:0.777734:0.054980:0.000000
 como la norma del :@0.781353:0.066065:0.877723:0.066065:0.877723:0.055636:0.781353:0.055636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector :@0.125386:0.076749:0.157470:0.076749:0.157470:0.066320:0.125386:0.066320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.160822:0.069341:0.172912:0.069341:0.172912:0.058683:0.160822:0.058683:0.000000:0.000000
:@0.164856:0.069341:0.169664:0.069341:0.169664:0.058683:0.164856:0.058683:0.000000
AB:@0.161291:0.076409:0.172994:0.076409:0.172994:0.065997:0.161291:0.065997:0.000000:0.000000
. :@0.173123:0.076409:0.177787:0.076752:0.177787:0.066323:0.173123:0.065979:0.000000:0.000000
M.5.2.8. Reconocer que dos vectores son ortogonales cuando su producto escalar es cero, y aplicar el teorema de Pitágoras para resolver y plantear aplicaciones :@0.125393:0.087313:0.877810:0.087313:0.877810:0.076884:0.125393:0.076884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricas con operaciones y elementos de :@0.125393:0.097875:0.340972:0.097875:0.340972:0.087445:0.125393:0.087445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.341088:0.098329:0.349692:0.098329:0.349692:0.087611:0.341088:0.087611:0.000000
2:@0.350196:0.092868:0.353567:0.092868:0.353567:0.086790:0.350196:0.086790:0.000000
 , apoyándose en el uso de las TIC (software como Geogebra, calculadora gráfica, applets en internet).:@0.353815:0.097875:0.824884:0.097875:0.824884:0.087445:0.353815:0.087445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El espacio euclídeo :@0.115745:0.142809:0.401005:0.142809:0.401005:0.102073:0.115745:0.102073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.404759:0.148509:0.443464:0.148509:0.443464:0.099786:0.404759:0.099786:0.000000
2 :@0.445472:0.127276:0.460151:0.127276:0.460151:0.103527:0.445472:0.103527:0.000000:0.000000
Producto escalar en :@0.213601:0.199574:0.373939:0.199574:0.373939:0.182673:0.213601:0.182673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.376920:0.200445:0.390224:0.200445:0.390224:0.183697:0.376920:0.183697:0.000000
2:@0.394039:0.193528:0.399797:0.193528:0.399797:0.183675:0.394039:0.183675:0.000000
Longitud o norma de un vector:@0.565374:0.198474:0.811730:0.198474:0.811730:0.181573:0.565374:0.181573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto escalar de   con   está definido de :@0.122466:0.227448:0.483160:0.227453:0.483160:0.211064:0.122466:0.211059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.292297:0.216301:0.301732:0.216301:0.301732:0.199553:0.292297:0.199553:0.000000:0.000000
A:@0.293034:0.227448:0.302929:0.227448:0.302929:0.211087:0.293034:0.211087:0.000000
:@0.345229:0.216301:0.352785:0.216301:0.352785:0.199553:0.345229:0.199553:0.000000
B:@0.344289:0.227448:0.353135:0.227448:0.353135:0.211087:0.344289:0.211087:0.000000
la siguiente manera::@0.122476:0.244050:0.269821:0.244050:0.269821:0.227661:0.122476:0.227661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.125825:0.259137:0.152748:0.259137:0.152748:0.242389:0.125825:0.242389:0.000000:0.000000:0.000000
⋅=:@0.137858:0.270962:0.166605:0.270962:0.166605:0.255389:0.137858:0.255389:0.000000:0.000000
+:@0.188903:0.270962:0.199019:0.270962:0.199019:0.255389:0.188903:0.255389:0.000000
AB ac bd:@0.126543:0.270285:0.219511:0.270285:0.219511:0.253923:0.126543:0.253923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades::@0.122474:0.296527:0.226664:0.296527:0.226664:0.279626:0.122474:0.279626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.122474:0.322763:0.141215:0.322763:0.141215:0.305627:0.122474:0.305627:0.000000:0.000000:0.000000
 :@0.159065:0.311615:0.230269:0.311615:0.230269:0.294866:0.159065:0.294866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅= ⋅:@0.171098:0.323439:0.218328:0.323439:0.218328:0.307866:0.171098:0.307866:0.000000:0.000000:0.000000:0.000000
AB BA:@0.159802:0.322762:0.231485:0.322762:0.231485:0.306400:0.159802:0.306400:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.122474:0.350263:0.141215:0.350263:0.141215:0.333127:0.122474:0.333127:0.000000:0.000000:0.000000
  :@0.165504:0.337853:0.313571:0.337853:0.313571:0.321105:0.165504:0.321105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.158333:0.355245:0.164469:0.355245:0.164469:0.329082:0.158333:0.329082:0.000000
):@0.199592:0.355245:0.205729:0.355245:0.205729:0.329082:0.199592:0.329082:0.000000
+:@0.177546:0.349683:0.187663:0.349683:0.187663:0.334110:0.177546:0.334110:0.000000
⋅ =⋅ +⋅:@0.207436:0.349683:0.301159:0.349683:0.301159:0.334110:0.207436:0.334110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB CA CB C:@0.166250:0.349005:0.312842:0.349005:0.312842:0.332644:0.166250:0.332644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.122466:0.376680:0.141207:0.376680:0.141207:0.359544:0.122466:0.359544:0.000000:0.000000:0.000000
:@0.177702:0.365350:0.211056:0.365350:0.211056:0.348602:0.177702:0.348602:0.000000:0.000000:0.000000
:@0.248003:0.365350:0.274926:0.365350:0.274926:0.348602:0.248003:0.348602:0.000000:0.000000:0.000000
α:@0.162774:0.377179:0.174402:0.377179:0.178967:0.361606:0.167339:0.361606:0.000000
α:@0.225484:0.377179:0.237112:0.377179:0.241676:0.361606:0.230049:0.361606:0.000000
( ):@0.158333:0.382742:0.194469:0.382742:0.194469:0.356579:0.158333:0.356579:0.000000:0.000000:0.000000
( ):@0.240833:0.382742:0.282461:0.382742:0.282461:0.356579:0.240833:0.356579:0.000000:0.000000:0.000000
⋅=:@0.196181:0.377179:0.224929:0.377179:0.224929:0.361606:0.196181:0.361606:0.000000:0.000000
⋅:@0.260052:0.377179:0.264659:0.377179:0.264659:0.361606:0.260052:0.361606:0.000000
AB:@0.178436:0.376501:0.211421:0.376501:0.211421:0.360140:0.178436:0.360140:0.000000:0.000000
AB:@0.248737:0.376501:0.275273:0.376501:0.275273:0.360140:0.248737:0.360140:0.000000:0.000000
4. :@0.122471:0.413124:0.141212:0.413124:0.141212:0.395988:0.122471:0.395988:0.000000:0.000000:0.000000
 :@0.168227:0.393710:0.194938:0.393710:0.194938:0.376961:0.168227:0.376961:0.000000:0.000000:0.000000:0.000000
:@0.189271:0.393710:0.139387:0.393710:0.139387:0.376961:0.189271:0.376961:0.000000
:@0.246701:0.393710:0.196817:0.393710:0.196817:0.376961:0.246701:0.376961:0.000000
 :@0.248590:0.393710:0.280645:0.393710:0.280645:0.376961:0.248590:0.376961:0.000000:0.000000:0.000000
 :@0.168227:0.416970:0.194938:0.416970:0.194938:0.400222:0.168227:0.400222:0.000000:0.000000:0.000000:0.000000
:@0.189271:0.416970:0.139387:0.416970:0.139387:0.400222:0.189271:0.400222:0.000000
:@0.246701:0.416970:0.196817:0.416970:0.196817:0.400222:0.246701:0.400222:0.000000
 :@0.248590:0.416970:0.280645:0.416970:0.280645:0.400222:0.248590:0.400222:0.000000:0.000000:0.000000
0:@0.213039:0.404861:0.222032:0.404861:0.222032:0.389191:0.213039:0.389191:0.000000
0:@0.272358:0.404861:0.281351:0.404861:0.281351:0.389191:0.272358:0.389191:0.000000
0:@0.213039:0.428124:0.222032:0.428124:0.222032:0.412454:0.213039:0.412454:0.000000
0:@0.272358:0.428124:0.281351:0.428124:0.281351:0.412454:0.272358:0.412454:0.000000
⋅ = ⇔ =:@0.180267:0.405539:0.269807:0.405539:0.269807:0.389966:0.180267:0.389966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ > ⇔≠:@0.180267:0.428801:0.269807:0.428801:0.269807:0.413228:0.180267:0.413228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎧:@0.158338:0.401929:0.167441:0.401929:0.167441:0.386356:0.158338:0.386356:0.000000
⎨:@0.158338:0.416036:0.167441:0.416036:0.167441:0.400463:0.158338:0.400463:0.000000
⎪:@0.158338:0.405552:0.167441:0.405552:0.167441:0.389980:0.158338:0.389980:0.000000
⎩:@0.158338:0.430502:0.167441:0.430502:0.167441:0.414929:0.158338:0.414929:0.000000
⎪:@0.158338:0.427875:0.167441:0.427875:0.167441:0.412302:0.158338:0.412302:0.000000
AA:@0.168971:0.404875:0.198031:0.404875:0.198031:0.389482:0.168971:0.389482:0.000000:0.000000
A:@0.247448:0.404875:0.257344:0.404875:0.257344:0.389482:0.247448:0.389482:0.000000
AA:@0.168971:0.428137:0.198031:0.428137:0.198031:0.412744:0.168971:0.412744:0.000000:0.000000
A:@0.247448:0.428137:0.257344:0.428137:0.257344:0.412744:0.247448:0.412744:0.000000
La longitud o norma del vector   se define de la :@0.504327:0.227453:0.866408:0.227453:0.866408:0.211064:0.504327:0.211064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.739086:0.216301:0.748521:0.216301:0.748521:0.199553:0.739086:0.199553:0.000000:0.000000
A:@0.739824:0.227448:0.749719:0.227448:0.749719:0.211087:0.739824:0.211087:0.000000
siguiente manera: :@0.504323:0.249084:0.639396:0.249084:0.639396:0.232695:0.504323:0.232695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.648193:0.237927:0.657628:0.237927:0.657628:0.221178:0.648193:0.221178:0.000000:0.000000
:@0.692530:0.237927:0.721130:0.237927:0.721130:0.221178:0.692530:0.221178:0.000000:0.000000:0.000000:0.000000
2:@0.761533:0.241417:0.766745:0.241417:0.766745:0.231918:0.761533:0.231918:0.000000
2:@0.792269:0.241417:0.797481:0.241417:0.797481:0.231918:0.792269:0.231918:0.000000
=:@0.666621:0.249757:0.676737:0.249757:0.676737:0.234184:0.666621:0.234184:0.000000
⋅ =:@0.704582:0.249757:0.736260:0.249757:0.736260:0.234184:0.704582:0.234184:0.000000:0.000000:0.000000
+:@0.770278:0.249757:0.780395:0.249757:0.780395:0.234184:0.770278:0.234184:0.000000
A:@0.648927:0.249079:0.658822:0.249079:0.658822:0.232718:0.648927:0.232718:0.000000
A A:@0.693264:0.249079:0.722324:0.249079:0.722324:0.232718:0.693264:0.232718:0.000000:0.000000:0.000000
a:@0.751698:0.249079:0.760967:0.249079:0.760967:0.232718:0.751698:0.232718:0.000000
b:@0.782417:0.249079:0.791686:0.249079:0.791686:0.232718:0.782417:0.232718:0.000000
Propiedades::@0.504325:0.272798:0.608515:0.272798:0.608515:0.255897:0.504325:0.255897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.504325:0.299006:0.523066:0.299006:0.523066:0.281871:0.504325:0.281871:0.000000:0.000000:0.000000
:@0.543901:0.287401:0.551456:0.287401:0.551456:0.270653:0.543901:0.270653:0.000000
:@0.545781:0.287401:0.486849:0.287401:0.486849:0.270653:0.545781:0.270653:0.000000
:@0.612267:0.287401:0.553336:0.287401:0.553336:0.270653:0.612267:0.270653:0.000000
:@0.614147:0.287401:0.621702:0.287401:0.621702:0.270653:0.614147:0.270653:0.000000
:@0.642112:0.299425:0.655417:0.299425:0.655417:0.282676:0.642112:0.282676:0.000000
:@0.674255:0.287401:0.681810:0.287401:0.681810:0.270653:0.674255:0.270653:0.000000
:@0.676134:0.287401:0.620815:0.287401:0.620815:0.270653:0.676134:0.270653:0.000000
:@0.739009:0.287401:0.683690:0.287401:0.683690:0.270653:0.739009:0.270653:0.000000
:@0.740889:0.287401:0.748444:0.287401:0.748444:0.270653:0.740889:0.270653:0.000000
≥:@0.562329:0.299231:0.572445:0.299231:0.572445:0.283658:0.562329:0.283658:0.000000
∀∈:@0.598141:0.299231:0.638774:0.299231:0.638774:0.283658:0.598141:0.283658:0.000000:0.000000
= ⇔ =:@0.692686:0.299231:0.762121:0.299231:0.762121:0.283658:0.692686:0.283658:0.000000:0.000000:0.000000:0.000000:0.000000
0;:@0.575007:0.298554:0.587740:0.298554:0.587740:0.282884:0.575007:0.282884:0.000000:0.000000
...:@0.588662:0.298554:0.597949:0.298554:0.597949:0.282884:0.588662:0.282884:0.000000:0.000000:0.000000
,:@0.663526:0.298554:0.666733:0.298554:0.666733:0.282884:0.663526:0.282884:0.000000
0:@0.705357:0.298554:0.714350:0.298554:0.714350:0.282884:0.705357:0.282884:0.000000
0:@0.764672:0.298554:0.773665:0.298554:0.773665:0.282884:0.764672:0.282884:0.000000
2:@0.656196:0.290891:0.661407:0.290891:0.661407:0.281810:0.656196:0.281810:0.000000
A:@0.544635:0.298554:0.554530:0.298554:0.554530:0.283161:0.544635:0.283161:0.000000
A:@0.613005:0.298554:0.622901:0.298554:0.622901:0.283161:0.613005:0.283161:0.000000
A:@0.674995:0.298554:0.684891:0.298554:0.684891:0.283161:0.674995:0.283161:0.000000
A:@0.739754:0.298554:0.749649:0.298554:0.749649:0.283161:0.739754:0.283161:0.000000
2. :@0.504327:0.327765:0.523068:0.327765:0.523068:0.310629:0.504327:0.310629:0.000000:0.000000:0.000000
:@0.558559:0.315355:0.567994:0.315355:0.567994:0.298606:0.558559:0.298606:0.000000:0.000000
:@0.614929:0.315355:0.624383:0.315355:0.624383:0.298606:0.614929:0.298606:0.000000:0.000000
:@0.691376:0.327377:0.704680:0.327377:0.704680:0.310629:0.691376:0.310629:0.000000
:@0.733257:0.315355:0.742692:0.315355:0.742692:0.298606:0.733257:0.298606:0.000000:0.000000
:@0.763096:0.327377:0.776401:0.327377:0.776401:0.310629:0.763096:0.310629:0.000000
α:@0.543632:0.327184:0.555260:0.327184:0.559825:0.311611:0.548197:0.311611:0.000000
α:@0.590549:0.327184:0.602176:0.327184:0.606741:0.311611:0.595113:0.311611:0.000000
α:@0.657607:0.327184:0.669235:0.327184:0.673800:0.311611:0.662172:0.311611:0.000000
=:@0.576987:0.327184:0.587104:0.327184:0.587104:0.311611:0.576987:0.311611:0.000000
∀ ∈:@0.645777:0.327184:0.688013:0.327184:0.688013:0.311611:0.645777:0.311611:0.000000:0.000000:0.000000
∀ ∈:@0.719119:0.327184:0.759734:0.327184:0.759734:0.311611:0.719119:0.311611:0.000000:0.000000:0.000000
;:@0.632159:0.326506:0.635366:0.326506:0.635366:0.310117:0.632159:0.310117:0.000000
...:@0.636287:0.326506:0.645575:0.326506:0.645575:0.310117:0.636287:0.310117:0.000000:0.000000:0.000000
;:@0.705501:0.326506:0.708708:0.326506:0.708708:0.310117:0.705501:0.310117:0.000000
...:@0.709629:0.326506:0.718917:0.326506:0.718917:0.310117:0.709629:0.310117:0.000000:0.000000:0.000000
2:@0.777178:0.318845:0.782390:0.318845:0.782390:0.309347:0.777178:0.309347:0.000000
A:@0.559293:0.326506:0.569189:0.326506:0.569189:0.310145:0.559293:0.310145:0.000000
A:@0.615682:0.326506:0.625577:0.326506:0.625577:0.310145:0.615682:0.310145:0.000000
A:@0.733987:0.326506:0.743883:0.326506:0.743883:0.310145:0.733987:0.310145:0.000000
3. :@0.504323:0.356518:0.523064:0.356518:0.523064:0.339382:0.504323:0.339382:0.000000:0.000000:0.000000
:@0.543797:0.344108:0.570720:0.344108:0.570720:0.327360:0.543797:0.327360:0.000000:0.000000:0.000000
:@0.596187:0.344108:0.626979:0.344108:0.626979:0.327360:0.596187:0.327360:0.000000:0.000000:0.000000
:@0.662729:0.344108:0.686409:0.344108:0.686409:0.327360:0.662729:0.327360:0.000000:0.000000:0.000000
:@0.707027:0.356132:0.720332:0.356132:0.720332:0.339383:0.707027:0.339383:0.000000
⋅≤:@0.555829:0.355938:0.587469:0.355938:0.587469:0.340365:0.555829:0.340365:0.000000:0.000000
∀:@0.648603:0.355938:0.661742:0.355938:0.661742:0.340365:0.648603:0.340365:0.000000
∈:@0.690545:0.355938:0.703684:0.355938:0.703684:0.340365:0.690545:0.340365:0.000000
;:@0.634992:0.355260:0.638198:0.355260:0.638198:0.338872:0.634992:0.338872:0.000000
...:@0.639120:0.355260:0.648407:0.355260:0.648407:0.338872:0.639120:0.338872:0.000000:0.000000:0.000000
,:@0.673358:0.355260:0.676565:0.355260:0.676565:0.338872:0.673358:0.338872:0.000000
2:@0.721111:0.347598:0.726323:0.347598:0.726323:0.338100:0.721111:0.338100:0.000000
AB:@0.544529:0.355260:0.571065:0.355260:0.571065:0.338899:0.544529:0.338899:0.000000:0.000000
AB:@0.596937:0.355260:0.627361:0.355260:0.627361:0.338899:0.596937:0.338899:0.000000:0.000000
AB:@0.663480:0.355260:0.686772:0.355260:0.686772:0.338899:0.663480:0.338899:0.000000:0.000000
4. :@0.504338:0.385272:0.523079:0.385272:0.523079:0.368136:0.504338:0.368136:0.000000:0.000000:0.000000
:@0.546362:0.372863:0.579034:0.372863:0.579034:0.356114:0.546362:0.356114:0.000000:0.000000:0.000000
:@0.607081:0.372863:0.616516:0.372863:0.616516:0.356114:0.607081:0.356114:0.000000:0.000000
:@0.643089:0.372863:0.650644:0.372863:0.650644:0.356114:0.643089:0.356114:0.000000
:@0.686393:0.372863:0.710073:0.372863:0.710073:0.356114:0.686393:0.356114:0.000000:0.000000:0.000000
:@0.730690:0.384885:0.743995:0.384885:0.743995:0.368136:0.730690:0.368136:0.000000
+:@0.558410:0.384691:0.568527:0.384691:0.568527:0.369118:0.558410:0.369118:0.000000
≤:@0.588245:0.384691:0.598361:0.384691:0.598361:0.369118:0.588245:0.369118:0.000000
+:@0.624584:0.384691:0.634701:0.384691:0.634701:0.369118:0.624584:0.369118:0.000000
∀:@0.672275:0.384691:0.685413:0.384691:0.685413:0.369118:0.672275:0.369118:0.000000
∈:@0.714216:0.384691:0.727355:0.384691:0.727355:0.369118:0.714216:0.369118:0.000000
;:@0.658675:0.384014:0.661881:0.384014:0.661881:0.367625:0.658675:0.367625:0.000000
...:@0.662803:0.384014:0.672090:0.384014:0.672090:0.367625:0.662803:0.367625:0.000000:0.000000:0.000000
,:@0.697041:0.384014:0.700248:0.384014:0.700248:0.367625:0.697041:0.367625:0.000000
2:@0.744774:0.376353:0.749986:0.376353:0.749986:0.366855:0.744774:0.366855:0.000000
AB:@0.547096:0.384014:0.579399:0.384014:0.579399:0.367652:0.547096:0.367652:0.000000:0.000000
A:@0.607815:0.384014:0.617710:0.384014:0.617710:0.367652:0.607815:0.367652:0.000000
B:@0.642164:0.384014:0.651009:0.384014:0.651009:0.367652:0.642164:0.367652:0.000000
AB:@0.687127:0.384014:0.710420:0.384014:0.710420:0.367652:0.687127:0.367652:0.000000:0.000000
5. :@0.504325:0.415284:0.523066:0.415284:0.523066:0.398148:0.504325:0.398148:0.000000:0.000000:0.000000
:@0.546362:0.401616:0.555797:0.401616:0.555797:0.384867:0.546362:0.384867:0.000000:0.000000
:@0.582738:0.401616:0.590293:0.401616:0.590293:0.384867:0.582738:0.384867:0.000000
:@0.618340:0.401616:0.651381:0.401616:0.651381:0.384867:0.618340:0.384867:0.000000:0.000000:0.000000
:@0.687131:0.401616:0.710810:0.401616:0.710810:0.384867:0.687131:0.384867:0.000000:0.000000:0.000000
:@0.731424:0.413638:0.744729:0.413638:0.744729:0.396890:0.731424:0.396890:0.000000
≤:@0.599500:0.413445:0.609617:0.413445:0.609617:0.397872:0.599500:0.397872:0.000000
∀:@0.673008:0.413445:0.686147:0.413445:0.686147:0.397872:0.673008:0.397872:0.000000
∈:@0.714931:0.413445:0.728070:0.413445:0.728070:0.397872:0.714931:0.397872:0.000000
–:@0.564635:0.412767:0.573849:0.412767:0.573849:0.396378:0.564635:0.396378:0.000000
–:@0.631178:0.412767:0.640391:0.412767:0.640391:0.396378:0.631178:0.396378:0.000000
;:@0.659390:0.412767:0.662597:0.412767:0.662597:0.396378:0.659390:0.396378:0.000000
...:@0.663518:0.412767:0.672806:0.412767:0.672806:0.396378:0.663518:0.396378:0.000000:0.000000:0.000000
,:@0.697757:0.412767:0.700963:0.412767:0.700963:0.396378:0.697757:0.396378:0.000000
2:@0.745506:0.405106:0.750718:0.405106:0.750718:0.395608:0.745506:0.395608:0.000000
A:@0.547096:0.412767:0.556991:0.412767:0.556991:0.396406:0.547096:0.396406:0.000000
B:@0.581813:0.412767:0.590659:0.412767:0.590659:0.396406:0.581813:0.396406:0.000000
AB:@0.619074:0.412767:0.651746:0.412767:0.651746:0.396406:0.619074:0.396406:0.000000:0.000000
AB:@0.687864:0.412767:0.711157:0.412767:0.711157:0.396406:0.687864:0.396406:0.000000:0.000000
Distancia entre dos puntos:@0.200453:0.455738:0.412920:0.455738:0.412920:0.438837:0.200453:0.438837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo entre dos vectores:@0.584338:0.455738:0.792753:0.455738:0.792753:0.438837:0.584338:0.438837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es un número real no negativo definido de la :@0.122468:0.480522:0.494962:0.480522:0.494962:0.464133:0.122468:0.464133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.490910:0.480522:0.494945:0.480522:0.494945:0.464133:0.490910:0.464133:0.000000
siguiente manera, sean   = ( ,  )  y   = ( ,  ): :@0.122468:0.497118:0.449427:0.497118:0.449427:0.480729:0.122468:0.480729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.295630:0.497118:0.305526:0.497118:0.305526:0.480757:0.295630:0.480757:0.000000
a b:@0.329463:0.497118:0.355244:0.497118:0.355244:0.480757:0.329463:0.480757:0.000000:0.000000:0.000000
B:@0.380342:0.497118:0.389187:0.497118:0.389187:0.480757:0.380342:0.480757:0.000000
c d:@0.413125:0.497118:0.437302:0.497118:0.437302:0.480757:0.413125:0.480757:0.000000:0.000000:0.000000
:@0.144095:0.515982:0.167774:0.515982:0.167774:0.499234:0.144095:0.499234:0.000000:0.000000:0.000000
:@0.196816:0.515982:0.229857:0.515982:0.229857:0.499234:0.196816:0.499234:0.000000:0.000000:0.000000
,:@0.154723:0.527133:0.157929:0.527133:0.157929:0.510745:0.154723:0.510745:0.000000
–:@0.209637:0.527133:0.218851:0.527133:0.218851:0.510745:0.209637:0.510745:0.000000
–:@0.283145:0.527133:0.292359:0.527133:0.292359:0.510745:0.283145:0.510745:0.000000
2:@0.310362:0.517587:0.315574:0.517587:0.315574:0.508088:0.310362:0.508088:0.000000
2:@0.379001:0.517587:0.384212:0.517587:0.384212:0.508088:0.379001:0.508088:0.000000
( ):@0.136923:0.533374:0.175308:0.533374:0.175308:0.507212:0.136923:0.507212:0.000000:0.000000:0.000000
(:@0.264241:0.530267:0.270378:0.530267:0.270378:0.510333:0.264241:0.510333:0.000000
) (:@0.303971:0.530267:0.337387:0.530267:0.337387:0.510333:0.303971:0.510333:0.000000:0.000000:0.000000
):@0.372603:0.530267:0.378739:0.530267:0.378739:0.510333:0.372603:0.510333:0.000000
=:@0.177967:0.527811:0.188083:0.527811:0.188083:0.512238:0.177967:0.512238:0.000000
=:@0.239054:0.527811:0.249171:0.527811:0.249171:0.512238:0.239054:0.512238:0.000000
+:@0.319104:0.527811:0.329221:0.527811:0.329221:0.512238:0.319104:0.512238:0.000000
−:@0.349417:0.527811:0.359534:0.527811:0.359534:0.512238:0.349417:0.512238:0.000000
dA B:@0.125448:0.527133:0.168108:0.527133:0.168108:0.510772:0.125448:0.510772:0.000000:0.000000:0.000000:0.000000
A B:@0.197537:0.527133:0.230190:0.527133:0.230190:0.510772:0.197537:0.510772:0.000000:0.000000:0.000000
a c:@0.271026:0.527133:0.302888:0.527133:0.302888:0.510772:0.271026:0.510772:0.000000:0.000000:0.000000
b d:@0.337679:0.527133:0.371180:0.527133:0.371180:0.510772:0.337679:0.510772:0.000000:0.000000:0.000000
El ángulo :@0.504302:0.484190:0.576575:0.484190:0.576575:0.467801:0.504302:0.467801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.615181:0.484192:0.627914:0.484192:0.627914:0.467803:0.615181:0.467803:0.000000:0.000000
.:@0.628836:0.484192:0.632042:0.484192:0.632042:0.467803:0.628836:0.467803:0.000000
θ:@0.576852:0.484869:0.586453:0.484869:0.591018:0.469296:0.581417:0.469296:0.000000
π:@0.631398:0.484869:0.641514:0.484869:0.646079:0.469296:0.635963:0.469296:0.000000
[:@0.608741:0.487242:0.614877:0.487242:0.614877:0.467620:0.608741:0.467620:0.000000
]:@0.645596:0.487242:0.651733:0.487242:0.651733:0.467620:0.645596:0.467620:0.000000
∈:@0.592617:0.484869:0.605756:0.484869:0.605756:0.469296:0.592617:0.469296:0.000000
 entre los vectores   y   se :@0.655335:0.484192:0.864619:0.484192:0.864619:0.467803:0.655335:0.467803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.796078:0.473041:0.805513:0.473041:0.805513:0.456292:0.796078:0.456292:0.000000:0.000000
A:@0.796815:0.484188:0.806711:0.484188:0.806711:0.467827:0.796815:0.467827:0.000000
:@0.829219:0.471783:0.836775:0.471783:0.836775:0.455035:0.829219:0.455035:0.000000
B:@0.828280:0.482931:0.837125:0.482931:0.837125:0.466569:0.828280:0.466569:0.000000
define:  cos:@0.504322:0.520303:0.585390:0.519233:0.585390:0.502844:0.504322:0.503914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.634696:0.499555:0.661618:0.499555:0.661618:0.482806:0.634696:0.482806:0.000000:0.000000:0.000000
:@0.632759:0.520339:0.663557:0.520339:0.663557:0.503591:0.632759:0.503591:0.000000:0.000000:0.000000
θ:@0.590607:0.519910:0.600208:0.519910:0.604773:0.504337:0.595172:0.504337:0.000000
():@0.586532:0.522364:0.609788:0.522364:0.609788:0.502431:0.586532:0.502431:0.000000:0.000000
=:@0.612447:0.519910:0.622563:0.519910:0.622563:0.504337:0.612447:0.504337:0.000000
⋅:@0.646741:0.511391:0.651347:0.511391:0.651347:0.495818:0.646741:0.495818:0.000000
AB:@0.635426:0.510713:0.661962:0.510713:0.661962:0.494352:0.635426:0.494352:0.000000:0.000000
AB:@0.633491:0.531491:0.663915:0.531491:0.663915:0.515130:0.633491:0.515130:0.000000:0.000000
Ortogonalidad:@0.438704:0.564365:0.556549:0.564365:0.556549:0.547464:0.438704:0.547464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.122468:0.594916:0.141208:0.594916:0.141208:0.577780:0.122468:0.577780:0.000000:0.000000:0.000000
:@0.159065:0.583766:0.166620:0.583766:0.166620:0.567018:0.159065:0.567018:0.000000
:@0.160944:0.583766:0.141116:0.583766:0.141116:0.567018:0.160944:0.567018:0.000000
:@0.188328:0.583766:0.168500:0.583766:0.168500:0.567018:0.188328:0.567018:0.000000
:@0.221415:0.583766:0.201587:0.583766:0.201587:0.567018:0.221415:0.567018:0.000000
:@0.223304:0.583766:0.248347:0.583766:0.248347:0.567018:0.223304:0.567018:0.000000:0.000000
0.:@0.264766:0.594913:0.276762:0.594913:0.276762:0.579244:0.264766:0.579244:0.000000:0.000000
⊥⇔ ⋅ =:@0.172425:0.595591:0.262223:0.595591:0.262223:0.580018:0.172425:0.580018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.159820:0.594913:0.196256:0.594913:0.196256:0.579520:0.159820:0.579520:0.000000:0.000000:0.000000
AB:@0.222172:0.594913:0.248708:0.594913:0.248708:0.579520:0.222172:0.579520:0.000000:0.000000
2. :@0.122474:0.618642:0.141215:0.618642:0.141215:0.601507:0.122474:0.601507:0.000000:0.000000:0.000000
Sea :@0.155718:0.618642:0.185699:0.618642:0.185699:0.602253:0.155718:0.602253:0.000000:0.000000:0.000000:0.000000
:@0.217053:0.619514:0.230358:0.619514:0.230358:0.602765:0.217053:0.602765:0.000000
:@0.289621:0.607495:0.297177:0.607495:0.297177:0.590747:0.289621:0.590747:0.000000
:@0.291501:0.607495:0.238964:0.607495:0.238964:0.590747:0.291501:0.590747:0.000000
:@0.351593:0.607495:0.299056:0.607495:0.299056:0.590747:0.351593:0.590747:0.000000
:@0.353491:0.607495:0.378535:0.607495:0.378535:0.590747:0.353491:0.590747:0.000000:0.000000
:@0.423384:0.607495:0.430939:0.607495:0.430939:0.590747:0.423384:0.590747:0.000000
⊂:@0.200562:0.619320:0.213701:0.619320:0.213701:0.603747:0.200562:0.603747:0.000000
≠∅:@0.254905:0.619320:0.282749:0.619320:0.282749:0.603747:0.254905:0.603747:0.000000:0.000000
⊥ ⇔ ⋅ = ∀∈:@0.302968:0.619320:0.448193:0.619320:0.448193:0.603747:0.302968:0.603747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.238468:0.618642:0.241674:0.618642:0.241674:0.602973:0.238468:0.602973:0.000000
.:@0.282436:0.618642:0.285643:0.618642:0.285643:0.602973:0.282436:0.602973:0.000000
.:@0.285477:0.618642:0.288683:0.618642:0.288683:0.602973:0.285477:0.602973:0.000000
0,:@0.394937:0.618642:0.407670:0.618642:0.407670:0.602973:0.394937:0.602973:0.000000:0.000000
.:@0.459904:0.618642:0.463110:0.618642:0.463110:0.602973:0.459904:0.602973:0.000000
2:@0.231137:0.610980:0.236349:0.610980:0.236349:0.601899:0.231137:0.601899:0.000000
S:@0.188680:0.618642:0.196751:0.618642:0.196751:0.603249:0.188680:0.603249:0.000000
S:@0.243386:0.618642:0.251457:0.618642:0.251457:0.603249:0.243386:0.603249:0.000000
A S:@0.290345:0.618642:0.326371:0.618642:0.326371:0.603249:0.290345:0.603249:0.000000:0.000000:0.000000
AB:@0.352328:0.618642:0.378864:0.618642:0.378864:0.603249:0.352328:0.603249:0.000000:0.000000
B:@0.422423:0.618642:0.431269:0.618642:0.431269:0.603249:0.422423:0.603249:0.000000
S:@0.451530:0.618642:0.459601:0.618642:0.459601:0.603249:0.451530:0.603249:0.000000
3. :@0.122474:0.642366:0.141215:0.642366:0.141215:0.625231:0.122474:0.625231:0.000000:0.000000:0.000000
Sean :@0.155718:0.642366:0.195577:0.642366:0.195577:0.625977:0.155718:0.625977:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.241746:0.643238:0.255051:0.643238:0.255051:0.626489:0.241746:0.626489:0.000000
:@0.420682:0.631214:0.447605:0.631214:0.447605:0.614466:0.420682:0.614466:0.000000:0.000000:0.000000
:@0.492244:0.631214:0.499799:0.631214:0.499799:0.614466:0.492244:0.614466:0.000000
:@0.494135:0.631214:0.444933:0.631214:0.444933:0.614466:0.494135:0.614466:0.000000
:@0.550882:0.631214:0.501681:0.631214:0.501681:0.614466:0.550882:0.614466:0.000000
⊂:@0.225255:0.643044:0.238394:0.643044:0.238394:0.627471:0.225255:0.627471:0.000000
≠∅ ≠∅:@0.279598:0.643044:0.352940:0.643044:0.352940:0.627471:0.279598:0.627471:0.000000:0.000000:0.000000:0.000000:0.000000
⊥ ⇔ ⋅ = ∀ ∈ ∀∈:@0.372059:0.643044:0.575707:0.643044:0.575707:0.627471:0.372059:0.627471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.207731:0.642366:0.210937:0.642366:0.210937:0.626697:0.207731:0.626697:0.000000
,:@0.263170:0.642366:0.266377:0.642366:0.266377:0.626697:0.263170:0.626697:0.000000
,:@0.307931:0.642366:0.311137:0.642366:0.311137:0.626697:0.307931:0.626697:0.000000
.:@0.352636:0.642366:0.355843:0.642366:0.355843:0.626697:0.352636:0.626697:0.000000
.:@0.355668:0.642366:0.358874:0.642366:0.358874:0.626697:0.355668:0.626697:0.000000
0,:@0.464041:0.642366:0.476774:0.642366:0.476774:0.626697:0.464041:0.626697:0.000000:0.000000
,:@0.531992:0.642366:0.535199:0.642366:0.535199:0.626697:0.531992:0.626697:0.000000
.:@0.587432:0.642366:0.590638:0.642366:0.590638:0.626697:0.587432:0.626697:0.000000
2:@0.255828:0.634704:0.261040:0.634704:0.261040:0.625623:0.255828:0.625623:0.000000
SR:@0.198557:0.642366:0.221591:0.642366:0.221591:0.626973:0.198557:0.626973:0.000000:0.000000
S:@0.268075:0.642366:0.276147:0.642366:0.276147:0.626973:0.268075:0.626973:0.000000
R:@0.312836:0.642366:0.321792:0.642366:0.321792:0.626973:0.312836:0.626973:0.000000
R:@0.359428:0.642366:0.368384:0.642366:0.368384:0.626973:0.359428:0.626973:0.000000
S:@0.387383:0.642366:0.395454:0.642366:0.395454:0.626973:0.387383:0.626973:0.000000
A B:@0.421412:0.642366:0.447951:0.642366:0.447951:0.626973:0.421412:0.626973:0.000000:0.000000:0.000000
A:@0.492975:0.642366:0.502871:0.642366:0.502871:0.626973:0.492975:0.626973:0.000000
R:@0.522080:0.642366:0.531036:0.642366:0.531036:0.626973:0.522080:0.626973:0.000000
B:@0.549931:0.642366:0.558777:0.642366:0.558777:0.626973:0.549931:0.626973:0.000000
S:@0.579038:0.642366:0.587109:0.642366:0.587109:0.626973:0.579038:0.626973:0.000000
4. :@0.122474:0.669862:0.141215:0.669862:0.141215:0.652727:0.122474:0.652727:0.000000:0.000000:0.000000
S:@0.155718:0.669862:0.163789:0.669862:0.163789:0.653501:0.155718:0.653501:0.000000
 es conjunto ortogonal si :@0.163789:0.669862:0.350479:0.669862:0.350479:0.653473:0.163789:0.653473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.353823:0.657454:0.380746:0.657454:0.380746:0.640705:0.353823:0.640705:0.000000:0.000000:0.000000
:@0.425378:0.657454:0.449057:0.657454:0.449057:0.640705:0.425378:0.640705:0.000000:0.000000:0.000000
:@0.493173:0.657454:0.527319:0.657454:0.527319:0.640705:0.493173:0.640705:0.000000:0.000000:0.000000
0,:@0.397170:0.668605:0.409904:0.668605:0.409904:0.652216:0.397170:0.652216:0.000000:0.000000
,:@0.436015:0.668605:0.439222:0.668605:0.439222:0.652216:0.436015:0.652216:0.000000
;:@0.478841:0.668605:0.482048:0.668605:0.482048:0.652216:0.478841:0.652216:0.000000
...:@0.482969:0.668605:0.492257:0.668605:0.492257:0.652216:0.482969:0.652216:0.000000:0.000000:0.000000
⋅= ∀:@0.365861:0.669283:0.424388:0.669283:0.424388:0.653710:0.365861:0.653710:0.000000:0.000000:0.000000:0.000000
∈:@0.453190:0.669283:0.466329:0.669283:0.466329:0.653710:0.453190:0.653710:0.000000
≠:@0.506169:0.669283:0.516286:0.669283:0.516286:0.653710:0.506169:0.653710:0.000000
AB:@0.354565:0.668605:0.381101:0.668605:0.381101:0.652244:0.354565:0.652244:0.000000:0.000000
AB:@0.426138:0.668605:0.449431:0.668605:0.449431:0.652244:0.426138:0.652244:0.000000:0.000000
SA B:@0.469701:0.668605:0.527711:0.668605:0.527711:0.652244:0.469701:0.652244:0.000000:0.000000:0.000000:0.000000
5. :@0.122506:0.698617:0.141247:0.698617:0.141247:0.681481:0.122506:0.681481:0.000000:0.000000:0.000000
El complemento ortogonal de   se define :@0.155750:0.698617:0.464486:0.698617:0.464486:0.682228:0.155750:0.682228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.381801:0.698617:0.389873:0.698617:0.389873:0.682256:0.381801:0.682256:0.000000
:@0.508064:0.685832:0.517142:0.685832:0.517142:0.669718:0.508064:0.669718:0.000000:0.000000
:@0.536774:0.697399:0.549575:0.697399:0.549575:0.681285:0.536774:0.681285:0.000000
:@0.561605:0.685832:0.587508:0.685832:0.587508:0.669718:0.561605:0.669718:0.000000:0.000000:0.000000
:@0.630662:0.685832:0.637931:0.685832:0.637931:0.669718:0.630662:0.669718:0.000000
{:@0.498948:0.702758:0.507458:0.702758:0.507458:0.677287:0.498948:0.677287:0.000000
}:@0.665818:0.702758:0.674328:0.702758:0.674328:0.677287:0.665818:0.677287:0.000000
=:@0.487514:0.697213:0.497247:0.697213:0.497247:0.682230:0.487514:0.682230:0.000000
∈:@0.520916:0.697213:0.533558:0.697213:0.533558:0.682230:0.520916:0.682230:0.000000
⋅= ∀∈:@0.573183:0.697213:0.654527:0.697213:0.654527:0.682230:0.573183:0.682230:0.000000:0.000000:0.000000:0.000000:0.000000
⊥:@0.476282:0.689568:0.483042:0.689568:0.483042:0.680885:0.476282:0.680885:0.000000
0,:@0.603310:0.696561:0.615561:0.696561:0.615561:0.680793:0.603310:0.680793:0.000000:0.000000
2:@0.550324:0.689190:0.555338:0.689190:0.555338:0.680052:0.550324:0.680052:0.000000
S:@0.467316:0.696561:0.475081:0.696561:0.475081:0.680819:0.467316:0.680819:0.000000
A:@0.508767:0.696561:0.518288:0.696561:0.518288:0.680819:0.508767:0.680819:0.000000
AB:@0.562311:0.696561:0.587841:0.696561:0.587841:0.680819:0.562311:0.680819:0.000000:0.000000
B:@0.629754:0.696561:0.638264:0.696561:0.638264:0.680819:0.629754:0.680819:0.000000
S:@0.657766:0.696561:0.665532:0.696561:0.665532:0.680819:0.657766:0.680819:0.000000
1:@0.673203:0.889053:0.678925:0.889053:0.678925:0.878623:0.673203:0.878623:0.000000
–1:@0.652235:0.916028:0.663821:0.916028:0.663821:0.905599:0.652235:0.905599:0.000000:0.000000
1:@0.706647:0.915993:0.712370:0.915993:0.712370:0.905563:0.706647:0.905563:0.000000
3:@0.757600:0.915993:0.763322:0.915993:0.763322:0.905563:0.757600:0.905563:0.000000
0:@0.675712:0.916028:0.681435:0.916028:0.681435:0.905599:0.675712:0.905599:0.000000
2:@0.732129:0.915993:0.737852:0.915993:0.737852:0.905563:0.732129:0.905563:0.000000
4:@0.781405:0.915993:0.787127:0.915993:0.787127:0.905563:0.781405:0.905563:0.000000
5:@0.806465:0.915993:0.812187:0.915993:0.812187:0.905563:0.806465:0.905563:0.000000
C:@0.816632:0.873607:0.823316:0.873607:0.823316:0.863177:0.816632:0.863177:0.000000
A:@0.732293:0.782841:0.739153:0.782841:0.739153:0.772412:0.732293:0.772412:0.000000
AB = 5:@0.694592:0.839599:0.725222:0.839599:0.725222:0.829170:0.694592:0.829170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CA = 5:@0.743012:0.839599:0.774404:0.839599:0.774404:0.829170:0.743012:0.829170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.648518:0.873615:0.654440:0.873615:0.654440:0.863186:0.648518:0.863186:0.000000
3:@0.673203:0.852026:0.678925:0.852026:0.678925:0.841597:0.673203:0.841597:0.000000
6:@0.673203:0.794018:0.678925:0.794018:0.678925:0.783589:0.673203:0.783589:0.000000
2:@0.673203:0.869347:0.678925:0.869347:0.678925:0.858918:0.673203:0.858918:0.000000
5:@0.673203:0.813847:0.678925:0.813847:0.678925:0.803418:0.673203:0.803418:0.000000
4:@0.673203:0.832312:0.678925:0.832312:0.678925:0.821883:0.673203:0.821883:0.000000
BC = 6:@0.728752:0.875904:0.759206:0.875904:0.759206:0.865474:0.728752:0.865474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.681388:0.775430:0.686149:0.775430:0.686149:0.765019:0.681388:0.765019:0.000000
x:@0.837927:0.907456:0.842677:0.907456:0.842677:0.897044:0.837927:0.897044:0.000000