﻿75:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
2:@0.923862:0.122645:0.945814:0.122645:0.945814:0.065614:0.923862:0.065614:0.000000
b) :@0.546853:0.784064:0.566884:0.784064:0.566884:0.767164:0.546853:0.767164:0.000000:0.000000:0.000000
Plano   que pasa    = ( , 0, 3) y está :@0.580096:0.784064:0.889634:0.784064:0.889634:0.767675:0.580096:0.767675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.628432:0.784742:0.643598:0.784742:0.643598:0.769169:0.628432:0.769169:0.000000
a:@0.727923:0.784576:0.737192:0.784576:0.737192:0.768215:0.727923:0.768215:0.000000
 1 :@0.774975:0.774421:0.790488:0.774421:0.790488:0.759522:0.774975:0.759522:0.000000:0.000000:0.000000
 2:@0.774975:0.792865:0.786819:0.792865:0.786819:0.777966:0.774975:0.777966:0.000000:0.000000
 :@0.885598:0.784064:0.889634:0.784064:0.889634:0.767675:0.885598:0.767675:0.000000
generado por los vectores    = (0, 0,  ) :@0.580105:0.811725:0.889630:0.811725:0.889630:0.795336:0.580105:0.795336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.784983:0.812237:0.794252:0.812237:0.794252:0.795875:0.784983:0.795875:0.000000
 1 :@0.866465:0.802081:0.881978:0.802081:0.881978:0.787182:0.866465:0.787182:0.000000:0.000000:0.000000
 2:@0.866465:0.820526:0.878309:0.820526:0.878309:0.805627:0.866465:0.805627:0.000000:0.000000
 :@0.885595:0.811725:0.889630:0.811725:0.889630:0.795336:0.885595:0.795336:0.000000
y   = (1, 1, 0).:@0.580101:0.831848:0.675077:0.831840:0.675077:0.815451:0.580101:0.815459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.592245:0.832360:0.599911:0.832360:0.599911:0.815998:0.592245:0.815998:0.000000
1. :@0.121364:0.761250:0.140104:0.761250:0.140104:0.744115:0.121364:0.744115:0.000000:0.000000:0.000000
Encuentra:@0.154607:0.761250:0.232611:0.761250:0.232611:0.744626:0.154607:0.744626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial general del plano descrito en cada caso.:@0.232611:0.761250:0.684192:0.761250:0.684192:0.744862:0.232611:0.744862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.181853:0.726285:0.242748:0.726285:0.242748:0.692338:0.181853:0.692338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.7.1. Opera analítica, geométrica y gráficamente, con vectores, rectas y planos en el espacio; expresa la ecuación de la recta de :@0.262874:0.703750:0.883530:0.703750:0.883530:0.693321:0.262874:0.693321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma paramétrica y vectorial; halla mediante tres puntos dicha ecuación o a partir de la intersección de dos planos, y determina la :@0.262874:0.714312:0.883646:0.714312:0.883646:0.703882:0.262874:0.703882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ortogonalidad de los mismos, para efectuar aplicaciones geométricas. (I.2.):@0.262874:0.724873:0.609122:0.724873:0.609122:0.714444:0.262874:0.714444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra:@0.752822:0.540047:0.823735:0.540047:0.823735:0.524934:0.752822:0.524934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más:@0.848042:0.540047:0.875617:0.540047:0.875617:0.525148:0.848042:0.525148:0.000000:0.000000:0.000000
información sobre :@0.752822:0.555135:0.879286:0.555135:0.879286:0.540236:0.752822:0.540236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las:@0.752822:0.570222:0.770227:0.570222:0.770227:0.555323:0.752822:0.555323:0.000000:0.000000:0.000000
ecuaciones:@0.800281:0.570222:0.875617:0.570222:0.875617:0.555323:0.800281:0.555323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del plano en el :@0.752822:0.585310:0.879286:0.585310:0.879286:0.570411:0.752822:0.570411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente enlace::@0.752822:0.600398:0.864827:0.600398:0.864827:0.585499:0.752822:0.585499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.692434:0.520614:0.712403:0.520614:0.712403:0.498888:0.692434:0.498888:0.000000:0.000000:0.000000
mayedu.ec/ctm13/p75:@0.687715:0.625013:0.839138:0.625013:0.839138:0.609888:0.687715:0.609888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones del plano:@0.121020:0.134441:0.423669:0.134441:0.423669:0.093704:0.121020:0.093704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.21. Determinar la ecuación vectorial de un plano a partir de un punto del plano y dos vectores dirección; a partir de tres puntos del plano; a partir de una :@0.130517:0.064792:0.882710:0.064792:0.882710:0.054363:0.130517:0.054363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta contenida en el plano y un punto. :@0.130517:0.075354:0.317050:0.075354:0.317050:0.064925:0.130517:0.064925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.22. Determinar la ecuación de la recta formada como intersección de dos planos como solución del sistema de ecuaciones planteado por las ecuaciones de los planos.:@0.130517:0.085915:0.875535:0.085915:0.875535:0.075486:0.130517:0.075486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación vectorial del plano:@0.210562:0.162668:0.413264:0.162668:0.413264:0.147304:0.210562:0.147304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación paramétrica del plano:@0.580455:0.162668:0.807800:0.162668:0.807800:0.147304:0.580455:0.147304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,   :@0.127503:0.187651:0.208625:0.187647:0.208625:0.172748:0.127503:0.172752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.163739:0.187211:0.202574:0.187207:0.202574:0.172333:0.163739:0.172337:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.208625:0.188263:0.220570:0.188263:0.220570:0.174106:0.208625:0.174106:0.000000
 :@0.220570:0.187647:0.223585:0.187647:0.223585:0.172773:0.220570:0.172773:0.000000
R:@0.223585:0.186868:0.235680:0.186868:0.235680:0.175175:0.223585:0.175175:0.000000
3, tal que,  ,   no nulos y no colineales,  Sean   =  1 2 3:@0.235680:0.187647:0.622202:0.187178:0.622202:0.172279:0.235680:0.172748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.299457:0.187207:0.322355:0.187207:0.322355:0.172333:0.299457:0.172333:0.000000:0.000000:0.000000
el plano que pasa por   y está generado por los :@0.127495:0.205249:0.448345:0.205249:0.448345:0.190350:0.127495:0.190350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.275720:0.205526:0.284147:0.205526:0.284147:0.190652:0.275720:0.190652:0.000000
vectores  ,   se define como::@0.127503:0.222852:0.322572:0.222852:0.322572:0.207953:0.127503:0.207953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.187527:0.222412:0.210429:0.222412:0.210429:0.207538:0.187527:0.207538:0.000000:0.000000:0.000000
∏:@0.127507:0.244628:0.141294:0.244628:0.141294:0.230471:0.127507:0.230471:0.000000
 =   :@0.141294:0.244012:0.178568:0.244017:0.178568:0.229118:0.141294:0.229113:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.158616:0.244628:0.166657:0.244628:0.166657:0.230471:0.158616:0.230471:0.000000
x = a:@0.166657:0.244326:0.199994:0.244558:0.199994:0.229684:0.166657:0.229452:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.200917:0.244017:0.218239:0.244017:0.218239:0.229118:0.200917:0.229118:0.000000:0.000000:0.000000
ub:@0.218239:0.244017:0.235143:0.244231:0.235143:0.229357:0.218239:0.229143:0.000000:0.000000
 +   | :@0.236067:0.244017:0.280664:0.244017:0.280664:0.229118:0.236067:0.229118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vc u, v:@0.253389:0.244017:0.302057:0.244017:0.302057:0.229143:0.253389:0.229143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.302057:0.244017:0.321339:0.244017:0.321339:0.229118:0.302057:0.229118:0.000000:0.000000:0.000000
∈ }:@0.305725:0.244633:0.341475:0.244633:0.341475:0.230476:0.305725:0.230476:0.000000:0.000000:0.000000
R:@0.321339:0.243237:0.333434:0.243237:0.333434:0.231545:0.321339:0.231545:0.000000
La ecuación vectorial del plano   es::@0.127497:0.265177:0.372683:0.265177:0.372683:0.250278:0.127497:0.250278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.337939:0.265793:0.351726:0.265793:0.351726:0.251636:0.337939:0.251636:0.000000
x = a:@0.127497:0.286652:0.160841:0.285910:0.160841:0.271036:0.127497:0.271778:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.135746:0.286350:0.139414:0.286350:0.139414:0.271451:0.135746:0.271451:0.000000
 + :@0.161764:0.286350:0.179086:0.286350:0.179086:0.271451:0.161764:0.271451:0.000000:0.000000:0.000000
ub:@0.179086:0.286350:0.195989:0.286539:0.195989:0.271665:0.179086:0.271476:0.000000:0.000000
 +      :@0.196914:0.286350:0.245296:0.286350:0.245296:0.271451:0.196914:0.271451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vc:@0.214236:0.286350:0.228241:0.286778:0.228241:0.271904:0.214236:0.271476:0.000000:0.000000
∀:@0.245296:0.286966:0.257241:0.286966:0.257241:0.272809:0.245296:0.272809:0.000000
u, v:@0.257241:0.286350:0.278633:0.286350:0.278633:0.271476:0.257241:0.271476:0.000000:0.000000:0.000000:0.000000
   :@0.278633:0.286350:0.297915:0.286350:0.297915:0.271451:0.278633:0.271451:0.000000:0.000000:0.000000
∈:@0.282302:0.286966:0.294247:0.286966:0.294247:0.272809:0.282302:0.272809:0.000000
R:@0.297915:0.285571:0.310011:0.285571:0.310011:0.273878:0.297915:0.273878:0.000000
a:@0.544293:0.187212:0.552719:0.187212:0.552719:0.172338:0.544293:0.172338:0.000000
(:@0.569616:0.187794:0.575194:0.187794:0.575194:0.173637:0.569616:0.173637:0.000000
a , a , a , b:@0.574859:0.187178:0.642087:0.187216:0.642087:0.172342:0.574859:0.172304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.621867:0.187794:0.633995:0.187794:0.633995:0.173637:0.621867:0.173637:0.000000:0.000000
 =  1 2 3:@0.642675:0.187178:0.711577:0.187178:0.711577:0.172279:0.642675:0.172279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.658992:0.187794:0.664570:0.187794:0.664570:0.173637:0.658992:0.173637:0.000000
b , b , b , c:@0.664235:0.187178:0.730005:0.187216:0.730005:0.172342:0.664235:0.172304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.711242:0.187794:0.723371:0.187794:0.723371:0.173637:0.711242:0.173637:0.000000:0.000000
 =  1 2 3:@0.732050:0.187178:0.796581:0.187178:0.796581:0.172279:0.732050:0.172279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.748367:0.187794:0.753946:0.187794:0.753946:0.173637:0.748367:0.173637:0.000000
c , c , c , x:@0.753611:0.187178:0.813651:0.187216:0.813651:0.172342:0.753611:0.172304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.796246:0.187794:0.801824:0.187794:0.801824:0.173637:0.796246:0.173637:0.000000
 = :@0.815881:0.187178:0.832533:0.187178:0.832533:0.172279:0.815881:0.172279:0.000000:0.000000:0.000000
(:@0.832198:0.187794:0.837776:0.187794:0.837776:0.173637:0.832198:0.173637:0.000000
x, y, z:@0.837441:0.187178:0.867093:0.187178:0.867093:0.172304:0.837441:0.172304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.866758:0.187794:0.872337:0.187794:0.872337:0.173637:0.866758:0.173637:0.000000
  :@0.872337:0.187178:0.878937:0.187178:0.878937:0.172279:0.872337:0.172279:0.000000:0.000000
vectores de  3, con  ,   no nulos y no colineales. De la  :@0.509714:0.203712:0.879235:0.203714:0.879235:0.188815:0.509714:0.188813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.590645:0.202932:0.602740:0.202932:0.602740:0.191239:0.590645:0.191239:0.000000
b c:@0.642862:0.203749:0.665773:0.203752:0.665773:0.188878:0.642862:0.188876:0.000000:0.000000:0.000000
definición del plano   y de la definición de las :@0.509728:0.218802:0.823081:0.218802:0.823081:0.203903:0.509728:0.203903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.646511:0.219418:0.660298:0.219418:0.660298:0.205261:0.646511:0.205261:0.000000
operaciones de adición y producto por escalares, se :@0.509728:0.233889:0.857352:0.233889:0.857352:0.218990:0.509728:0.218990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene la ecuación paramétrica del plano  .:@0.509728:0.251492:0.811770:0.251492:0.811770:0.236593:0.509728:0.236593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.795068:0.252108:0.808855:0.252108:0.808855:0.237950:0.795068:0.237950:0.000000
x:@0.519494:0.270150:0.526279:0.270150:0.526279:0.255276:0.519494:0.255276:0.000000
 =   + :@0.526279:0.270150:0.574117:0.270145:0.574117:0.255246:0.526279:0.255251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.543601:0.270150:0.552028:0.270150:0.552028:0.255276:0.543601:0.255276:0.000000
1:@0.552031:0.271764:0.556797:0.271764:0.556797:0.263078:0.552031:0.263078:0.000000
ub:@0.574117:0.270145:0.591020:0.270145:0.591020:0.255271:0.574117:0.255271:0.000000:0.000000
1:@0.591020:0.271764:0.595786:0.271764:0.595786:0.263078:0.591020:0.263078:0.000000
 + :@0.595786:0.270145:0.613108:0.270145:0.613108:0.255246:0.595786:0.255246:0.000000:0.000000:0.000000
vc:@0.613108:0.270145:0.626996:0.270145:0.626996:0.255271:0.613108:0.255271:0.000000:0.000000
1:@0.626996:0.271764:0.631762:0.271764:0.631762:0.263078:0.626996:0.263078:0.000000
 :@0.631762:0.270145:0.635431:0.270145:0.635431:0.255246:0.631762:0.255246:0.000000
y:@0.519504:0.286490:0.526306:0.286490:0.526306:0.271616:0.519504:0.271616:0.000000
 =   + :@0.526306:0.286490:0.574134:0.286490:0.574134:0.271591:0.526306:0.271591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.543628:0.286490:0.552054:0.286490:0.552054:0.271616:0.543628:0.271616:0.000000
2:@0.552046:0.288109:0.556812:0.288109:0.556812:0.279422:0.552046:0.279422:0.000000
ub:@0.574134:0.286490:0.591037:0.286490:0.591037:0.271616:0.574134:0.271616:0.000000:0.000000
2:@0.591037:0.288109:0.595803:0.288109:0.595803:0.279422:0.591037:0.279422:0.000000
 + :@0.595803:0.286490:0.613125:0.286490:0.613125:0.271591:0.595803:0.271591:0.000000:0.000000:0.000000
vc:@0.613125:0.286490:0.627013:0.286490:0.627013:0.271616:0.613125:0.271616:0.000000:0.000000
2:@0.627013:0.288109:0.631779:0.288109:0.631779:0.279422:0.627013:0.279422:0.000000
 :@0.631779:0.286490:0.635448:0.286490:0.635448:0.271591:0.631779:0.271591:0.000000
z:@0.519504:0.302835:0.526088:0.302835:0.526088:0.287961:0.519504:0.287961:0.000000
 =   + :@0.526088:0.302835:0.573916:0.302835:0.573916:0.287936:0.526088:0.287936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.543410:0.302835:0.551837:0.302835:0.551837:0.287961:0.543410:0.287961:0.000000
3:@0.551830:0.304454:0.556596:0.304454:0.556596:0.295767:0.551830:0.295767:0.000000
ub:@0.573916:0.302835:0.590819:0.302835:0.590819:0.287961:0.573916:0.287961:0.000000:0.000000
3:@0.590819:0.304454:0.595585:0.304454:0.595585:0.295767:0.590819:0.295767:0.000000
 + :@0.595585:0.302835:0.612907:0.302835:0.612907:0.287936:0.595585:0.287936:0.000000:0.000000:0.000000
vc:@0.612907:0.302835:0.626795:0.302835:0.626795:0.287961:0.612907:0.287961:0.000000:0.000000
3:@0.626795:0.304454:0.631561:0.304454:0.631561:0.295767:0.626795:0.295767:0.000000
 :@0.631561:0.302835:0.635230:0.302835:0.635230:0.287936:0.631561:0.287936:0.000000
Ecuación cartesiana del plano:@0.204725:0.335008:0.419104:0.335008:0.419104:0.319644:0.204725:0.319644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación de la recta formada  :@0.590047:0.327464:0.805161:0.327464:0.805161:0.312100:0.590047:0.312100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la intersección de dos planos:@0.575858:0.342552:0.812417:0.342552:0.812417:0.327187:0.575858:0.327187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De las ecuaciones paramétricas se puede obtener :@0.127513:0.362580:0.462588:0.362580:0.462588:0.347681:0.127513:0.347681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación cartesiana que representa el plano   al :@0.127513:0.382697:0.472408:0.382697:0.472408:0.367798:0.127513:0.367798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.440127:0.383313:0.453914:0.383313:0.453914:0.369156:0.440127:0.369156:0.000000
eliminar los parámetros :@0.127513:0.397785:0.287497:0.397785:0.287497:0.382886:0.127513:0.382886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u, v.:@0.287497:0.397785:0.311319:0.397785:0.311319:0.382911:0.287497:0.382911:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación general o implícita del plano se expresa :@0.127513:0.416431:0.477985:0.416431:0.477985:0.401532:0.127513:0.401532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.127513:0.431518:0.169445:0.431518:0.169445:0.416619:0.127513:0.416619:0.000000:0.000000:0.000000:0.000000:0.000000
ax + by + cz + d = :@0.127513:0.450164:0.243892:0.450164:0.243892:0.435290:0.127513:0.435290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.243892:0.450164:0.252067:0.450164:0.252067:0.435265:0.243892:0.435265:0.000000
Dos planos no paralelos: :@0.509736:0.362568:0.675652:0.362568:0.675652:0.347669:0.509736:0.347669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.509736:0.383301:0.523523:0.383301:0.523523:0.369144:0.509736:0.369144:0.000000
1:@0.523515:0.385568:0.528281:0.385568:0.528281:0.376882:0.523515:0.376882:0.000000
:  1  +  1  +  1  +  1 = 0,  :@0.528281:0.382692:0.689070:0.382692:0.689070:0.367793:0.528281:0.367793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.534865:0.382692:0.553594:0.382692:0.553594:0.367818:0.534865:0.367818:0.000000:0.000000:0.000000
b y:@0.570916:0.382692:0.589662:0.382692:0.589662:0.367818:0.570916:0.367818:0.000000:0.000000:0.000000
c z:@0.606984:0.382692:0.624054:0.382692:0.624054:0.367818:0.606984:0.367818:0.000000:0.000000:0.000000
d:@0.641376:0.382692:0.649803:0.382692:0.649803:0.367818:0.641376:0.367818:0.000000
y:@0.689070:0.382692:0.695872:0.382692:0.695872:0.367818:0.689070:0.367818:0.000000
∏:@0.509719:0.406983:0.523507:0.406983:0.523507:0.392826:0.509719:0.392826:0.000000
2:@0.523515:0.409248:0.528281:0.409248:0.528281:0.400562:0.523515:0.400562:0.000000
:  2  +  2  +  2  +  2 = 0:@0.528281:0.406372:0.683911:0.406372:0.683911:0.391473:0.528281:0.391473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.534865:0.406372:0.554867:0.406372:0.554867:0.391498:0.534865:0.391498:0.000000:0.000000:0.000000
b y:@0.572189:0.406372:0.592208:0.406372:0.592208:0.391498:0.572189:0.391498:0.000000:0.000000:0.000000
c z:@0.609530:0.406372:0.627874:0.406372:0.627874:0.391498:0.609530:0.391498:0.000000:0.000000:0.000000
d:@0.645196:0.406372:0.653622:0.406372:0.653622:0.391498:0.645196:0.391498:0.000000
Al cortarse determinan una recta en el espacio la que :@0.509719:0.425018:0.867849:0.425018:0.867849:0.410119:0.509719:0.410119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se expresa como un sistema de ecuaciones lineales.:@0.509719:0.440106:0.853472:0.440106:0.853472:0.425207:0.509719:0.425207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.509724:0.464620:0.513760:0.464620:0.513760:0.448232:0.509724:0.448232:0.000000
a x:@0.523533:0.460478:0.542263:0.460478:0.542263:0.445604:0.523533:0.445604:0.000000:0.000000:0.000000
1  +  1  +  1  +  1 = 0:@0.531960:0.460478:0.667487:0.460478:0.667487:0.445579:0.531960:0.445579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b y:@0.559585:0.460478:0.578330:0.460478:0.578330:0.445604:0.559585:0.445604:0.000000:0.000000:0.000000
c z:@0.595652:0.460478:0.612723:0.460478:0.612723:0.445604:0.595652:0.445604:0.000000:0.000000:0.000000
d:@0.630045:0.460478:0.638472:0.460478:0.638472:0.445604:0.630045:0.445604:0.000000
a x:@0.523533:0.479123:0.543536:0.479123:0.543536:0.464250:0.523533:0.464250:0.000000:0.000000:0.000000
2  +  2  +  2  +  2 = 0:@0.531960:0.479123:0.672579:0.479123:0.672579:0.464224:0.531960:0.464224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b y:@0.560858:0.479123:0.580877:0.479123:0.580877:0.464250:0.560858:0.464250:0.000000:0.000000:0.000000
c z:@0.598199:0.479123:0.616543:0.479123:0.616543:0.464250:0.598199:0.464250:0.000000:0.000000:0.000000
d:@0.633865:0.479123:0.642291:0.479123:0.642291:0.464250:0.633865:0.464250:0.000000
Actividad resuelta:@0.121020:0.513371:0.278142:0.513371:0.278142:0.494934:0.121020:0.494934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontremos:@0.121020:0.533216:0.222685:0.533216:0.222685:0.516592:0.121020:0.516592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas del plano :@0.222685:0.533216:0.527274:0.533216:0.527274:0.516827:0.222685:0.516827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.530960:0.533894:0.546125:0.533894:0.546125:0.518321:0.530960:0.518321:0.000000
 que pasa :@0.546125:0.533216:0.628092:0.533216:0.628092:0.516827:0.546125:0.516827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    = (1, 0, 1) :@0.121020:0.554276:0.205271:0.554276:0.205271:0.539377:0.121020:0.539377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.124689:0.555100:0.133958:0.555100:0.133958:0.538738:0.124689:0.538738:0.000000
y está generado por los vectores:@0.205270:0.554590:0.442818:0.554590:0.442818:0.538202:0.205270:0.538202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    = (1, 1, 0) y     = (0, 1, 1).:@0.442815:0.554276:0.621600:0.554276:0.621600:0.539377:0.442815:0.539377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.446484:0.555100:0.455753:0.555100:0.455753:0.538738:0.446484:0.538738:0.000000
c:@0.541773:0.555100:0.549439:0.555100:0.549439:0.538738:0.541773:0.538738:0.000000
∏:@0.121020:0.582514:0.136186:0.582514:0.136186:0.566941:0.121020:0.566941:0.000000
 =   = (1, 0, 1) +  (1, 1, 0) +  (0, 1, 1) | :@0.136186:0.581836:0.413331:0.581836:0.413331:0.565447:0.136186:0.565447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.155240:0.582514:0.164086:0.582514:0.164086:0.566941:0.155240:0.566941:0.000000
x:@0.164086:0.582348:0.171549:0.582348:0.171549:0.565987:0.164086:0.565987:0.000000
u:@0.262777:0.581836:0.272102:0.581836:0.272102:0.565475:0.262777:0.565475:0.000000
v:@0.342385:0.581836:0.350124:0.581836:0.350124:0.565475:0.342385:0.565475:0.000000
u, v:@0.413331:0.581836:0.436863:0.581836:0.436863:0.565475:0.413331:0.565475:0.000000:0.000000:0.000000:0.000000
   :@0.436863:0.581836:0.458073:0.581836:0.458073:0.565447:0.436863:0.565447:0.000000:0.000000:0.000000
∈ }:@0.440899:0.582514:0.480223:0.582514:0.480223:0.566941:0.440899:0.566941:0.000000:0.000000:0.000000
R:@0.458073:0.580979:0.471378:0.580979:0.471378:0.568116:0.458073:0.568116:0.000000
∏:@0.121032:0.609760:0.136198:0.609760:0.136198:0.594187:0.121032:0.594187:0.000000
 =   = (1 +  ,    +  1 +  ) | :@0.136198:0.609082:0.344098:0.609081:0.344098:0.592692:0.136198:0.592693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.155252:0.609760:0.164097:0.609760:0.164097:0.594187:0.155252:0.594187:0.000000
x:@0.164097:0.609594:0.171560:0.609594:0.171560:0.593232:0.164097:0.593232:0.000000
u u:@0.225424:0.609081:0.255351:0.609081:0.255351:0.592719:0.225424:0.592719:0.000000:0.000000:0.000000
v,  :@0.274405:0.609081:0.291451:0.609081:0.291451:0.592719:0.274405:0.592719:0.000000:0.000000:0.000000:0.000000
v u, v:@0.319498:0.609081:0.367631:0.609081:0.367631:0.592719:0.319498:0.592719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.367631:0.609081:0.388841:0.609081:0.388841:0.592692:0.367631:0.592692:0.000000:0.000000:0.000000
∈ }:@0.371666:0.609758:0.410991:0.609758:0.410991:0.594185:0.371666:0.594185:0.000000:0.000000:0.000000
R:@0.388841:0.608223:0.402145:0.608223:0.402145:0.595361:0.388841:0.595361:0.000000
∏:@0.121032:0.652937:0.136198:0.652937:0.136198:0.637364:0.121032:0.637364:0.000000
 :    =   +  ,    :@0.136198:0.652259:0.243299:0.651553:0.243299:0.635165:0.136198:0.635870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.161296:0.634957:0.168759:0.634957:0.168759:0.618596:0.161296:0.618596:0.000000
 = 1 + :@0.168759:0.634957:0.215860:0.634957:0.215860:0.618568:0.168759:0.618568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.215860:0.634957:0.225185:0.634957:0.225185:0.618596:0.215860:0.618596:0.000000
y:@0.161296:0.651553:0.168778:0.651553:0.168778:0.635192:0.161296:0.635192:0.000000
u:@0.187832:0.651553:0.197156:0.651553:0.197156:0.635192:0.187832:0.635192:0.000000
v:@0.216211:0.651553:0.223950:0.651553:0.223950:0.635192:0.216211:0.635192:0.000000
u, v:@0.243299:0.651553:0.266831:0.651553:0.266831:0.635192:0.243299:0.635192:0.000000:0.000000:0.000000:0.000000
 :@0.266831:0.651553:0.270867:0.651553:0.270867:0.635165:0.266831:0.635165:0.000000
∈ :@0.270867:0.652231:0.288613:0.652231:0.288613:0.636658:0.270867:0.636658:0.000000:0.000000
R:@0.288613:0.650696:0.301918:0.650696:0.301918:0.637834:0.288613:0.637834:0.000000
z:@0.161296:0.668150:0.168538:0.668150:0.168538:0.651789:0.161296:0.651789:0.000000
 = 1 + :@0.168538:0.668150:0.215639:0.668150:0.215639:0.651761:0.168538:0.651761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.215639:0.668150:0.223379:0.668150:0.223379:0.651789:0.215639:0.651789:0.000000
Estas son las ecuaciones :@0.339100:0.643511:0.520206:0.643511:0.520206:0.627122:0.339100:0.627122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paramétricas del plano.:@0.339100:0.658599:0.509975:0.658599:0.509975:0.642210:0.339100:0.642210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153607:0.784068:0.172329:0.784068:0.172329:0.767167:0.153607:0.767167:0.000000:0.000000:0.000000
Plano   que pasa:@0.186850:0.784068:0.309099:0.784068:0.309099:0.767679:0.186850:0.767679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.228626:0.784746:0.243792:0.784746:0.243792:0.769173:0.228626:0.769173:0.000000
    = (1, 1, 1) :@0.308624:0.783759:0.383570:0.783759:0.383570:0.768860:0.308624:0.768860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.311366:0.784582:0.320635:0.784582:0.320635:0.768221:0.311366:0.768221:0.000000
y está generado :@0.382612:0.784073:0.496550:0.784073:0.496550:0.767684:0.382612:0.767684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por los vectores:@0.186855:0.804196:0.302911:0.804196:0.302911:0.787807:0.186855:0.787807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    = (0, 1, 2)     = (2, 0, 0).:@0.302908:0.803876:0.475094:0.803876:0.475094:0.788976:0.302908:0.788976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.306576:0.804699:0.315846:0.804699:0.315846:0.788338:0.306576:0.788338:0.000000
y:@0.387157:0.804190:0.395265:0.804190:0.395265:0.787801:0.387157:0.787801:0.000000
c:@0.398934:0.804699:0.406600:0.804699:0.406600:0.788338:0.398934:0.788338:0.000000