61:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Diversidad funcional :@0.577530:0.150210:0.726707:0.150210:0.726707:0.134738:0.577530:0.134738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el aula:@0.577530:0.164046:0.643668:0.164046:0.643668:0.148573:0.577530:0.148573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si en el grupo de trabajo existe un alumno con dis-:@0.531231:0.194876:0.846796:0.194876:0.846796:0.179813:0.531231:0.179813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
capacidad visual o cegara, se debe utilizar las mis-:@0.531231:0.210718:0.846796:0.210718:0.846796:0.195655:0.531231:0.195655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mas palabras para comunicarnos con él como por :@0.531231:0.226560:0.850573:0.226560:0.850573:0.211497:0.531231:0.211497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo: “mirar”, “ver”, u “observar”, ya que estas :@0.531231:0.242402:0.850590:0.242402:0.850590:0.227339:0.531231:0.227339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forman parte del vocabulario del alumno ciego, al :@0.531231:0.258244:0.850574:0.258244:0.850574:0.243181:0.531231:0.243181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual que el resto de compañeros que sí ven.:@0.531231:0.274086:0.808374:0.274086:0.808374:0.259023:0.531231:0.259023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.498812:0.126740:0.693048:0.126740:0.693048:0.106110:0.498812:0.106110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la ecuación del plano que pasa por :@0.553668:0.347905:0.846035:0.347905:0.846035:0.331407:0.553668:0.331407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres puntos de :@0.553668:0.365255:0.654868:0.365255:0.654868:0.348758:0.553668:0.348758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.654483:0.364287:0.668392:0.364287:0.668392:0.350840:0.654483:0.350840:0.000000
3 :@0.668004:0.358902:0.675148:0.358902:0.675148:0.349284:0.668004:0.349284:0.000000:0.000000
no colineales y no nulos?:@0.674923:0.365255:0.841857:0.365255:0.841857:0.348758:0.674923:0.348758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.511003:0.342728:0.533846:0.342728:0.533846:0.322098:0.511003:0.322098:0.000000:0.000000
A partir de la investigación anterior, :@0.553668:0.421684:0.815673:0.421684:0.815673:0.405187:0.553668:0.405187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de-:@0.817003:0.422147:0.841953:0.422147:0.841953:0.405201:0.817003:0.405201:0.000000:0.000000:0.000000
terminen:@0.553668:0.439498:0.625197:0.439498:0.625197:0.422552:0.553668:0.422552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana del pla-:@0.625199:0.439035:0.841972:0.439035:0.841972:0.422537:0.625199:0.422537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no que contiene los puntos::@0.553668:0.456386:0.752059:0.456386:0.752059:0.439888:0.553668:0.439888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.511003:0.416507:0.533846:0.416507:0.533846:0.395878:0.511003:0.395878:0.000000:0.000000
Dadas las siguientes ecuaciones cartesia-:@0.553668:0.587708:0.841951:0.587708:0.841951:0.571211:0.553668:0.571211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nas que representan planos, :@0.553668:0.605059:0.752406:0.605059:0.752406:0.588561:0.553668:0.588561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinen :@0.751520:0.605522:0.845995:0.605522:0.845995:0.588576:0.751520:0.588576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus intersecciones con los ejes coordena-:@0.553668:0.622410:0.841968:0.622410:0.841968:0.605912:0.553668:0.605912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos. :@0.553668:0.639761:0.586397:0.639761:0.586397:0.623263:0.553668:0.623263:0.000000:0.000000:0.000000:0.000000:0.000000
Hallen:@0.587844:0.640223:0.637645:0.640223:0.637645:0.623277:0.587844:0.623277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones del plano en :@0.637645:0.639761:0.846093:0.639761:0.846093:0.623263:0.637645:0.623263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma paramétrica.:@0.553668:0.657111:0.688813:0.657111:0.688813:0.640614:0.553668:0.640614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:@0.511003:0.582531:0.533846:0.582531:0.533846:0.561902:0.511003:0.561902:0.000000:0.000000
Trabajen:@0.498812:0.306845:0.566026:0.306845:0.566026:0.289899:0.498812:0.289899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en equipo, :@0.566028:0.306382:0.647308:0.306382:0.647308:0.289885:0.566028:0.289885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indaguen   resuelvan:@0.646461:0.306845:0.805977:0.306845:0.805977:0.289899:0.646461:0.289899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.721557:0.306382:0.729378:0.306382:0.729378:0.289885:0.721557:0.289885:0.000000
.:@0.805977:0.306382:0.808732:0.306382:0.808732:0.289885:0.805977:0.289885:0.000000
a):@0.524088:0.686610:0.538633:0.686610:0.538633:0.669895:0.524088:0.669895:0.000000:0.000000
  4x – 5y + 2z – 7 = 0.:@0.538634:0.686393:0.691696:0.686393:0.691696:0.669895:0.538634:0.669895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.524088:0.712390:0.540097:0.712390:0.540097:0.695675:0.524088:0.695675:0.000000:0.000000
  –6x – 5 + 2y – 3z + 6 = 0.:@0.540098:0.712172:0.729783:0.712172:0.729783:0.695675:0.540098:0.695675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.524088:0.738170:0.538421:0.738170:0.538421:0.721455:0.524088:0.721455:0.000000:0.000000
  5x – 4y + 6z – 5 = 0.:@0.538421:0.737953:0.691696:0.737953:0.691696:0.721456:0.538421:0.721456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.524088:0.763951:0.540290:0.763951:0.540290:0.747236:0.524088:0.747236:0.000000:0.000000
  3x + 6y + 8z – 3 = 0.:@0.540291:0.763733:0.692004:0.763733:0.692004:0.747235:0.540291:0.747235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.163151:0.551645:0.191413:0.551645:0.191413:0.535148:0.163151:0.535148:0.000000:0.000000:0.000000:0.000000
el plano   :@0.191412:0.551485:0.268440:0.551485:0.268440:0.535705:0.191412:0.535705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.249312:0.551001:0.264478:0.551001:0.264478:0.534059:0.249312:0.534059:0.000000
definido :@0.268443:0.551645:0.332344:0.551645:0.332344:0.535148:0.268443:0.535148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.332345:0.551485:0.374950:0.551485:0.374950:0.535705:0.332345:0.535705:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.163142:0.574678:0.178308:0.574678:0.178308:0.557736:0.163142:0.557736:0.000000
 =   = (:@0.178308:0.575093:0.239508:0.575097:0.239508:0.559427:0.178308:0.559424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.197363:0.574678:0.206208:0.574678:0.206208:0.557736:0.197363:0.557736:0.000000
x:@0.206208:0.575605:0.213671:0.575605:0.213671:0.560212:0.206208:0.560212:0.000000
x, y, z:@0.239508:0.575097:0.274336:0.575097:0.274336:0.559704:0.239508:0.559704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.274336:0.575097:0.283255:0.575097:0.283255:0.559427:0.274336:0.559427:0.000000:0.000000
∈:@0.283254:0.574406:0.295198:0.574406:0.295198:0.559004:0.283254:0.559004:0.000000
 :@0.295198:0.574783:0.298214:0.574783:0.298214:0.560789:0.295198:0.560789:0.000000
R:@0.298214:0.574003:0.310309:0.574003:0.310309:0.562310:0.298214:0.562310:0.000000
3 | 3:@0.310140:0.575097:0.336252:0.575097:0.336252:0.559427:0.310140:0.559427:0.000000:0.000000:0.000000:0.000000:0.000000
x + y –  z :@0.336252:0.575097:0.404213:0.575097:0.404213:0.559704:0.336252:0.559704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 = 2:@0.384661:0.575097:0.428224:0.575097:0.428224:0.559427:0.384661:0.559427:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.428224:0.574682:0.437069:0.574682:0.437069:0.557740:0.428224:0.557740:0.000000
9:@0.126198:0.546819:0.137620:0.546819:0.137620:0.526189:0.126198:0.526189:0.000000
Sea :@0.163151:0.826055:0.191413:0.826055:0.191413:0.809557:0.163151:0.809557:0.000000:0.000000:0.000000:0.000000
el plano   :@0.191412:0.825895:0.268440:0.825895:0.268440:0.810114:0.191412:0.810114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.249312:0.825411:0.264478:0.825411:0.264478:0.808468:0.249312:0.808468:0.000000
definido :@0.268443:0.826055:0.332344:0.826055:0.332344:0.809557:0.268443:0.809557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.332345:0.825895:0.374950:0.825895:0.374950:0.810114:0.332345:0.810114:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.163142:0.845534:0.178308:0.845534:0.178308:0.828592:0.163142:0.828592:0.000000
 =   = (:@0.178308:0.845949:0.239508:0.845942:0.239508:0.830273:0.178308:0.830279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.197363:0.845534:0.206208:0.845534:0.206208:0.828592:0.197363:0.828592:0.000000
x:@0.206208:0.846460:0.213671:0.846460:0.213671:0.831067:0.206208:0.831067:0.000000
x, y, z:@0.239508:0.845942:0.274336:0.845942:0.274336:0.830549:0.239508:0.830549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) :@0.274336:0.845942:0.283255:0.845942:0.283255:0.830273:0.274336:0.830273:0.000000:0.000000
∈:@0.283254:0.845251:0.295198:0.845251:0.295198:0.829849:0.283254:0.829849:0.000000
 :@0.295198:0.845628:0.298214:0.845628:0.298214:0.831634:0.295198:0.831634:0.000000
R:@0.298214:0.844848:0.310309:0.844848:0.310309:0.833156:0.298214:0.833156:0.000000
3 | 2:@0.310140:0.845942:0.336252:0.845942:0.336252:0.830273:0.310140:0.830273:0.000000:0.000000:0.000000:0.000000:0.000000
x + y –  z :@0.336252:0.845942:0.404213:0.845942:0.404213:0.830549:0.336252:0.830549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 = 5:@0.384661:0.845942:0.428224:0.845942:0.428224:0.830273:0.384661:0.830273:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.428224:0.845527:0.437069:0.845527:0.437069:0.828585:0.428224:0.828585:0.000000
10:@0.120487:0.821228:0.143331:0.821228:0.143331:0.800598:0.120487:0.800598:0.000000:0.000000
Encuentra:@0.162941:0.141559:0.241696:0.141559:0.241696:0.124613:0.162941:0.124613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones paramétricas :@0.241698:0.141096:0.455348:0.141096:0.455348:0.124599:0.241698:0.124599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del plano descrito en cada caso.:@0.162941:0.158447:0.388688:0.158447:0.388688:0.141949:0.162941:0.141949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.125989:0.136270:0.137411:0.136270:0.137411:0.115640:0.125989:0.115640:0.000000
a):@0.524088:0.506817:0.538633:0.506817:0.538633:0.490102:0.524088:0.490102:0.000000:0.000000
 :@0.538632:0.506600:0.542774:0.506600:0.542774:0.490102:0.538632:0.490102:0.000000
b):@0.700692:0.506817:0.716701:0.506817:0.716701:0.490102:0.700692:0.490102:0.000000:0.000000
 :@0.716702:0.506600:0.720844:0.506600:0.720844:0.490102:0.716702:0.490102:0.000000
A:@0.552999:0.482077:0.564759:0.482077:0.564759:0.464892:0.552999:0.464892:0.000000
=:@0.567131:0.481926:0.582771:0.481926:0.582771:0.463776:0.567131:0.463776:0.000000
2, 1, 3:@0.592059:0.481956:0.638095:0.481956:0.638095:0.464741:0.592059:0.464741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.584200:0.483437:0.592020:0.483437:0.592020:0.461838:0.584200:0.461838:0.000000
):@0.637915:0.483437:0.645735:0.483437:0.645735:0.461838:0.637915:0.461838:0.000000
B:@0.551743:0.507852:0.561332:0.507852:0.561332:0.490667:0.551743:0.490667:0.000000
=:@0.563784:0.507701:0.579424:0.507701:0.579424:0.489550:0.563784:0.489550:0.000000
1,  1,  1:@0.603360:0.507731:0.682272:0.507731:0.682272:0.490516:0.603360:0.490516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.580850:0.509212:0.588670:0.509212:0.588670:0.487613:0.580850:0.487613:0.000000
):@0.680420:0.509212:0.688240:0.509212:0.688240:0.487613:0.680420:0.487613:0.000000
C:@0.551743:0.533626:0.562216:0.533626:0.562216:0.516441:0.551743:0.516441:0.000000
=:@0.565875:0.533475:0.581515:0.533475:0.581515:0.515325:0.565875:0.515325:0.000000
0, 3, 4:@0.591205:0.533505:0.640195:0.533505:0.640195:0.516291:0.591205:0.516291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.582944:0.534986:0.590764:0.534986:0.590764:0.513387:0.582944:0.513387:0.000000
):@0.640418:0.534986:0.648238:0.534986:0.648238:0.513387:0.640418:0.513387:0.000000
A:@0.552999:0.582032:0.564759:0.582032:0.564759:0.564847:0.552999:0.564847:0.000000
=:@0.567131:0.581881:0.582771:0.581881:0.582771:0.563731:0.567131:0.563731:0.000000
4, 5, 6:@0.592461:0.581912:0.641030:0.581912:0.641030:0.564697:0.592461:0.564697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.584200:0.583392:0.592020:0.583392:0.592020:0.561794:0.584200:0.561794:0.000000
):@0.641273:0.583392:0.649093:0.583392:0.649093:0.561794:0.641273:0.561794:0.000000
B:@0.551743:0.607807:0.561332:0.607807:0.561332:0.590622:0.551743:0.590622:0.000000
=:@0.563784:0.607656:0.579424:0.607656:0.579424:0.589506:0.563784:0.589506:0.000000
1, 0,  1:@0.603360:0.607686:0.667718:0.607686:0.667718:0.590471:0.603360:0.590471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.580850:0.609167:0.588670:0.609167:0.588670:0.587568:0.580850:0.587568:0.000000
):@0.665865:0.609167:0.673685:0.609167:0.673685:0.587568:0.665865:0.587568:0.000000
C:@0.551743:0.633582:0.562216:0.633582:0.562216:0.616397:0.551743:0.616397:0.000000
=:@0.565875:0.633431:0.581515:0.633431:0.581515:0.615280:0.565875:0.615280:0.000000
3,  2,  2:@0.590803:0.633461:0.675153:0.633461:0.675153:0.616246:0.590803:0.616246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.582944:0.634942:0.590764:0.634942:0.590764:0.613343:0.582944:0.613343:0.000000
):@0.675397:0.634942:0.683217:0.634942:0.683217:0.613343:0.675397:0.613343:0.000000
A:@0.727063:0.383493:0.738823:0.383493:0.738823:0.366308:0.727063:0.366308:0.000000
=:@0.741199:0.383342:0.756839:0.383342:0.756839:0.365192:0.741199:0.365192:0.000000
2, 1, 3:@0.766118:0.383372:0.812154:0.383372:0.812154:0.366157:0.766118:0.366157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.758265:0.384853:0.766085:0.384853:0.766085:0.363254:0.758265:0.363254:0.000000
):@0.811979:0.384853:0.819799:0.384853:0.819799:0.363254:0.811979:0.363254:0.000000
B:@0.725807:0.409268:0.735396:0.409268:0.735396:0.392083:0.725807:0.392083:0.000000
=:@0.737848:0.409117:0.753488:0.409117:0.753488:0.390967:0.737848:0.390967:0.000000
1,  1,  1:@0.777426:0.409147:0.856336:0.409147:0.856336:0.391932:0.777426:0.391932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.754914:0.410628:0.762734:0.410628:0.762734:0.389029:0.754914:0.389029:0.000000
):@0.854484:0.410628:0.862304:0.410628:0.862304:0.389029:0.854484:0.389029:0.000000
C:@0.725807:0.435042:0.736280:0.435042:0.736280:0.417858:0.725807:0.417858:0.000000
=:@0.739939:0.434892:0.755579:0.434892:0.755579:0.416741:0.739939:0.416741:0.000000
0, 3, 4:@0.765269:0.434922:0.814259:0.434922:0.814259:0.417707:0.765269:0.417707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.757008:0.436403:0.764828:0.436403:0.764828:0.414804:0.757008:0.414804:0.000000
):@0.814482:0.436403:0.822302:0.436403:0.822302:0.414804:0.814482:0.414804:0.000000
A:@0.727063:0.483449:0.738823:0.483449:0.738823:0.466264:0.727063:0.466264:0.000000
=:@0.741196:0.483298:0.756836:0.483298:0.756836:0.465147:0.741196:0.465147:0.000000
4, 5, 6:@0.766525:0.483328:0.815094:0.483328:0.815094:0.466113:0.766525:0.466113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.758265:0.484809:0.766085:0.484809:0.766085:0.463210:0.758265:0.463210:0.000000
):@0.815337:0.484809:0.823157:0.484809:0.823157:0.463210:0.815337:0.463210:0.000000
B:@0.725807:0.509223:0.735396:0.509223:0.735396:0.492038:0.725807:0.492038:0.000000
=:@0.737848:0.509072:0.753488:0.509072:0.753488:0.490922:0.737848:0.490922:0.000000
1, 0,  1:@0.777426:0.509103:0.841784:0.509103:0.841784:0.491888:0.777426:0.491888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.754914:0.510583:0.762734:0.510583:0.762734:0.488984:0.754914:0.488984:0.000000
):@0.839929:0.510583:0.847749:0.510583:0.847749:0.488984:0.839929:0.488984:0.000000
C:@0.725807:0.534998:0.736280:0.534998:0.736280:0.517813:0.725807:0.517813:0.000000
=:@0.739939:0.534847:0.755579:0.534847:0.755579:0.516697:0.739939:0.516697:0.000000
3,  2,  2:@0.764867:0.534877:0.849217:0.534877:0.849217:0.517662:0.764867:0.517662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.757008:0.536358:0.764828:0.536358:0.764828:0.514759:0.757008:0.514759:0.000000
):@0.849461:0.536358:0.857281:0.536358:0.857281:0.514759:0.849461:0.514759:0.000000
Sean a = (2, 3, 5), b = (0, 2, 1), c = (–1, 1, –1). :@0.553668:0.813378:0.846162:0.813378:0.846162:0.796880:0.553668:0.796880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El plano ∏ que pasa por   y está genera-:@0.553668:0.834242:0.841953:0.834239:0.841953:0.817741:0.553668:0.817744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.729015:0.832345:0.792476:0.832345:0.792476:0.815160:0.729015:0.815160:0.000000:0.000000:0.000000:0.000000:0.000000
do por los vectores  ,   es el conjunto :@0.553668:0.855103:0.846112:0.855100:0.846112:0.838602:0.553668:0.838605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.669959:0.853206:0.733422:0.853206:0.733422:0.836021:0.669959:0.836021:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.664964:0.853206:0.674332:0.853206:0.674332:0.836021:0.664964:0.836021:0.000000
b:@0.693862:0.853206:0.703531:0.853206:0.703531:0.836021:0.693862:0.836021:0.000000
c:@0.720927:0.853206:0.728425:0.853206:0.728425:0.836021:0.720927:0.836021:0.000000
definido como:  :@0.553665:0.872451:0.670391:0.872451:0.670391:0.855953:0.553665:0.855953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.567642:0.891035:0.576817:0.891035:0.576817:0.875407:0.567642:0.875407:0.000000
x:@0.587234:0.891145:0.593579:0.891145:0.593579:0.875544:0.587234:0.875544:0.000000
=(2,3,5):@0.596688:0.891035:0.647383:0.891035:0.647383:0.875407:0.596688:0.875407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.648724:0.891008:0.661447:0.891008:0.661447:0.874530:0.648724:0.874530:0.000000
u:@0.662608:0.891145:0.670425:0.891145:0.670425:0.875544:0.662608:0.875544:0.000000
(0,2,1):@0.670360:0.891035:0.707334:0.891035:0.707334:0.875407:0.670360:0.875407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.708675:0.891008:0.721398:0.891008:0.721398:0.874530:0.708675:0.874530:0.000000
v:@0.722560:0.891145:0.729166:0.891145:0.729166:0.875544:0.722560:0.875544:0.000000
( 1,1, 1)| ,:@0.729624:0.891035:0.808202:0.891035:0.808202:0.875407:0.729624:0.875407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.797098:0.891145:0.815315:0.891145:0.815315:0.875544:0.797098:0.875544:0.000000:0.000000:0.000000
{:@0.578459:0.896387:0.586636:0.896387:0.586636:0.867222:0.578459:0.867222:0.000000
}:@0.842533:0.896387:0.850710:0.896387:0.850710:0.867222:0.842533:0.867222:0.000000
.:@0.851187:0.891035:0.853525:0.891035:0.853525:0.875407:0.851187:0.875407:0.000000
14:@0.511003:0.808201:0.533846:0.808201:0.533846:0.787571:0.511003:0.787571:0.000000:0.000000
Determinen:@0.555720:0.913549:0.648867:0.913549:0.648867:0.896603:0.555720:0.896603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de este plano.:@0.648867:0.913087:0.834777:0.913087:0.834777:0.896589:0.648867:0.896589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.130785:0.197416:0.145330:0.197416:0.145330:0.180702:0.130785:0.180702:0.000000:0.000000
 :@0.145331:0.197199:0.149473:0.197199:0.149473:0.180702:0.145331:0.180702:0.000000
Plano   que pasa   = (5, 0, –1) y está  :@0.154530:0.197039:0.417187:0.197039:0.417187:0.181259:0.154530:0.181259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.196379:0.196555:0.211545:0.196555:0.211545:0.179613:0.196379:0.179613:0.000000
a:@0.280059:0.197482:0.289328:0.197482:0.289328:0.182089:0.280059:0.182089:0.000000
generado por los vectores   = (0, 1, 0)  :@0.154522:0.217162:0.418841:0.217156:0.418841:0.201376:0.154522:0.201382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.334338:0.217605:0.343608:0.217605:0.343608:0.202212:0.334338:0.202212:0.000000
y   = (0, 1, –1).:@0.154533:0.237279:0.255225:0.237273:0.255225:0.221492:0.154533:0.221499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.165977:0.237722:0.173643:0.237722:0.173643:0.222329:0.165977:0.222329:0.000000
 :@0.164027:0.253800:0.167841:0.253800:0.167841:0.236899:0.164027:0.236899:0.000000
b):@0.130785:0.274363:0.146795:0.274363:0.146795:0.257649:0.130785:0.257649:0.000000:0.000000
 :@0.146795:0.274146:0.150937:0.274146:0.150937:0.257649:0.146795:0.257649:0.000000
Plano   que pasa   = (4, 0, –2) y está  :@0.154530:0.273986:0.417187:0.273986:0.417187:0.258206:0.154530:0.258206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.196379:0.273502:0.211545:0.273502:0.211545:0.256560:0.196379:0.256560:0.000000
a:@0.280059:0.274429:0.289328:0.274429:0.289328:0.259035:0.280059:0.259035:0.000000
generado por los vectores   = :@0.154522:0.301647:0.361955:0.301647:0.361955:0.285866:0.154522:0.285866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.334338:0.302089:0.343608:0.302089:0.343608:0.286696:0.334338:0.286696:0.000000
 1 :@0.369517:0.292537:0.385030:0.292537:0.385030:0.278292:0.369517:0.278292:0.000000:0.000000:0.000000
 2:@0.369517:0.310982:0.381361:0.310982:0.381361:0.296737:0.369517:0.296737:0.000000:0.000000
, 3, 0:@0.383763:0.302180:0.416233:0.302180:0.416233:0.286510:0.383763:0.286510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.425493:0.301647:0.433417:0.301647:0.433417:0.285866:0.425493:0.285866:0.000000:0.000000
y   = (0, –2, 1).:@0.154533:0.329307:0.255225:0.329307:0.255225:0.313527:0.154533:0.313527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.165977:0.329750:0.173643:0.329750:0.173643:0.314357:0.165977:0.314357:0.000000
 :@0.164027:0.345834:0.167841:0.345834:0.167841:0.328934:0.164027:0.328934:0.000000
a):@0.131028:0.616738:0.145573:0.616738:0.145573:0.600023:0.131028:0.600023:0.000000:0.000000
 :@0.145574:0.616521:0.149716:0.616521:0.149716:0.600023:0.145574:0.600023:0.000000
Comprueba:@0.154763:0.616983:0.246252:0.616983:0.246252:0.600037:0.154763:0.600037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que los siguientes puntos :@0.246254:0.616521:0.433529:0.616521:0.433529:0.600023:0.246254:0.600023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenecen al conjunto  ::@0.154763:0.633871:0.343599:0.633871:0.343599:0.617374:0.154763:0.617374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.324989:0.633365:0.340844:0.633365:0.340844:0.615653:0.324989:0.615653:0.000000
 :@0.131028:0.668457:0.135170:0.668457:0.135170:0.651960:0.131028:0.651960:0.000000
(3, 1, 4), (2, –2, 1), :@0.154771:0.668223:0.280927:0.668223:0.280927:0.652553:0.154771:0.652553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1   1 :@0.286814:0.659183:0.323813:0.659183:0.323813:0.644938:0.286814:0.644938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2  2:@0.286814:0.677627:0.320144:0.677627:0.320144:0.663382:0.286814:0.663382:0.000000:0.000000:0.000000:0.000000:0.000000
,  , 0:@0.301058:0.668825:0.338781:0.668825:0.338781:0.653155:0.301058:0.653155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.131028:0.709744:0.147037:0.709744:0.147037:0.693029:0.131028:0.693029:0.000000:0.000000
 :@0.147038:0.709527:0.151180:0.709527:0.151180:0.693029:0.147038:0.693029:0.000000
Determina:@0.154763:0.709990:0.237813:0.709990:0.237813:0.693044:0.154763:0.693044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes puntos perte-:@0.237815:0.709527:0.451484:0.709527:0.451484:0.693029:0.237815:0.693029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necen al conjunto  ::@0.154763:0.726878:0.305958:0.726878:0.305958:0.710380:0.154763:0.710380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.287348:0.726372:0.303203:0.726372:0.303203:0.708659:0.287348:0.708659:0.000000
 :@0.131028:0.758730:0.135170:0.758730:0.135170:0.742233:0.131028:0.742233:0.000000
(1, 1, 1), (2, –2, 0), :@0.154771:0.758507:0.280927:0.758507:0.280927:0.742837:0.154771:0.742837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 3   1 :@0.286814:0.749467:0.323813:0.749467:0.323813:0.735222:0.286814:0.735222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2  3:@0.286814:0.767912:0.320144:0.767912:0.320144:0.753666:0.286814:0.753666:0.000000:0.000000:0.000000:0.000000:0.000000
,  , 2:@0.301058:0.759109:0.338781:0.759109:0.338781:0.743440:0.301058:0.743440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.131028:0.891853:0.145573:0.891853:0.145573:0.875138:0.131028:0.875138:0.000000:0.000000
 :@0.145574:0.891636:0.149716:0.891636:0.149716:0.875138:0.145574:0.875138:0.000000
Verifica:@0.154763:0.892098:0.213404:0.892098:0.213404:0.875153:0.154763:0.875153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes puntos pertenecen :@0.213406:0.891636:0.468707:0.891636:0.468707:0.875138:0.213406:0.875138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al plano::@0.154763:0.908986:0.213811:0.908986:0.213811:0.892489:0.154763:0.892489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.131028:0.926337:0.135170:0.926337:0.135170:0.909839:0.131028:0.909839:0.000000
(1, 0, –1), (5, 1, –2), (0, –1, 2):@0.154771:0.926108:0.350583:0.926108:0.350583:0.910438:0.154771:0.910438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.130785:0.369479:0.145118:0.369479:0.145118:0.352765:0.130785:0.352765:0.000000:0.000000
 :@0.145118:0.369262:0.149261:0.369262:0.149261:0.352765:0.145118:0.352765:0.000000
Plano   que pasa   = (0, 0, 1) y está  :@0.154530:0.369102:0.407144:0.369102:0.407144:0.353322:0.154530:0.353322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.196379:0.368618:0.211545:0.368618:0.211545:0.351676:0.196379:0.351676:0.000000
a:@0.280059:0.369545:0.289328:0.369545:0.289328:0.354152:0.280059:0.354152:0.000000
generado por los vectores   = (0, 2, 2)  :@0.154522:0.389225:0.418841:0.389219:0.418841:0.373439:0.154522:0.373445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.334338:0.389668:0.343608:0.389668:0.343608:0.374275:0.334338:0.374275:0.000000
y   = (3, –2, –1).:@0.154533:0.409342:0.265268:0.409336:0.265268:0.393555:0.154533:0.393562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.165977:0.409785:0.173643:0.409785:0.173643:0.394391:0.165977:0.394391:0.000000
 :@0.164027:0.425863:0.167841:0.425863:0.167841:0.408962:0.164027:0.408962:0.000000
d):@0.130785:0.451193:0.146987:0.451193:0.146987:0.434478:0.130785:0.434478:0.000000:0.000000
 :@0.146988:0.450976:0.151130:0.450976:0.151130:0.434478:0.146988:0.434478:0.000000
Plano   que pasa   = (1, 2, 3) y está  :@0.154530:0.450815:0.407144:0.450815:0.407144:0.435035:0.154530:0.435035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.196379:0.450331:0.211545:0.450331:0.211545:0.433389:0.196379:0.433389:0.000000
a:@0.280059:0.451258:0.289328:0.451258:0.289328:0.435865:0.280059:0.435865:0.000000
generado por los vectores   = (3, 2, 1)  :@0.154522:0.470938:0.418841:0.470932:0.418841:0.455152:0.154522:0.455158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.334338:0.471381:0.343608:0.471381:0.343608:0.455988:0.334338:0.455988:0.000000
y   = (1, 0, 0).:@0.154533:0.491055:0.245182:0.491049:0.245182:0.475269:0.154533:0.475275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.165977:0.491498:0.173643:0.491498:0.173643:0.476105:0.165977:0.476105:0.000000
 :@0.164027:0.507576:0.167841:0.507576:0.167841:0.490676:0.164027:0.490676:0.000000
–2x + z – 1 = 0:@0.755204:0.932226:0.820955:0.932226:0.820955:0.922184:0.755204:0.922184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax + by + cz + d = 0:@0.755204:0.380836:0.842204:0.380836:0.842204:0.370794:0.755204:0.370794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6x + 11y – 10z + 7 = 0:@0.549858:0.549580:0.646287:0.549580:0.646287:0.539538:0.549858:0.539538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3x + 11y – 10z –7 = 0:@0.722580:0.549580:0.816300:0.549580:0.816300:0.539538:0.722580:0.539538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.267788:0.335092:0.277646:0.335092:0.277646:0.324080:0.267788:0.324080:0.000000
 = :@0.277526:0.335362:0.289791:0.335362:0.289791:0.325177:0.277526:0.325177:0.000000:0.000000:0.000000
x:@0.300476:0.318416:0.305327:0.318416:0.305327:0.308411:0.300476:0.308411:0.000000
 = 4 +   :@0.305327:0.318416:0.347822:0.318420:0.347822:0.308234:0.305327:0.308231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1 :@0.335940:0.318251:0.346023:0.318251:0.346023:0.308991:0.335940:0.308991:0.000000:0.000000:0.000000
 2:@0.335940:0.330240:0.343639:0.330240:0.343639:0.320980:0.335940:0.320980:0.000000:0.000000
u:@0.347822:0.318420:0.353883:0.318420:0.353883:0.308414:0.347822:0.308414:0.000000
y:@0.300473:0.334763:0.305336:0.334763:0.305336:0.324757:0.300473:0.324757:0.000000
 = 3  – 2 ,    :@0.305336:0.334763:0.364316:0.334763:0.364316:0.324578:0.305336:0.324578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.323567:0.334763:0.329628:0.334763:0.329628:0.324757:0.323567:0.324757:0.000000
v:@0.346708:0.334763:0.351739:0.334763:0.351739:0.324757:0.346708:0.324757:0.000000
∀:@0.364316:0.334493:0.372856:0.334493:0.372856:0.323481:0.364316:0.323481:0.000000
u, v:@0.372856:0.334763:0.388152:0.334763:0.388152:0.324757:0.372856:0.324757:0.000000:0.000000:0.000000:0.000000
 :@0.388152:0.334763:0.390775:0.334763:0.390775:0.324578:0.388152:0.324578:0.000000
∈ :@0.390775:0.334493:0.402310:0.334493:0.402310:0.323481:0.390775:0.323481:0.000000:0.000000
R:@0.402310:0.334206:0.410958:0.334206:0.410958:0.325845:0.402310:0.325845:0.000000
z = v –:@0.300473:0.346207:0.330275:0.346207:0.330275:0.336201:0.300473:0.336201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305181:0.346207:0.307804:0.346207:0.307804:0.336021:0.305181:0.336021:0.000000
 2:@0.330275:0.346207:0.338743:0.346207:0.338743:0.336021:0.330275:0.336021:0.000000:0.000000
∏:@0.317668:0.241159:0.327526:0.241159:0.327526:0.230147:0.317668:0.230147:0.000000
 = :@0.327406:0.241429:0.339672:0.241429:0.339672:0.231244:0.327406:0.231244:0.000000:0.000000:0.000000
x:@0.349697:0.231306:0.354548:0.231306:0.354548:0.221301:0.349697:0.221301:0.000000
 = 5:@0.354548:0.231306:0.372779:0.231306:0.372779:0.221121:0.354548:0.221121:0.000000:0.000000:0.000000:0.000000
y:@0.349697:0.242094:0.354560:0.242094:0.354560:0.232089:0.349697:0.232089:0.000000
 =   +  ,    :@0.354560:0.242094:0.402999:0.242094:0.402999:0.231909:0.354560:0.231909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.366946:0.242094:0.373006:0.242094:0.373006:0.232089:0.366946:0.232089:0.000000
v:@0.385392:0.242094:0.390422:0.242094:0.390422:0.232089:0.385392:0.232089:0.000000
∀:@0.402999:0.241824:0.411540:0.241824:0.411540:0.230812:0.402999:0.230812:0.000000
u, v:@0.411540:0.242094:0.426835:0.242094:0.426835:0.232089:0.411540:0.232089:0.000000:0.000000:0.000000:0.000000
 :@0.426835:0.242094:0.429459:0.242094:0.429459:0.231909:0.426835:0.231909:0.000000
∈ :@0.429459:0.241824:0.440993:0.241824:0.440993:0.230812:0.429459:0.230812:0.000000:0.000000
R:@0.440993:0.241537:0.449641:0.241537:0.449641:0.233176:0.440993:0.233176:0.000000
z:@0.349697:0.252882:0.354405:0.252882:0.354405:0.242876:0.349697:0.242876:0.000000
 = –1 – :@0.354405:0.252882:0.389859:0.252882:0.389859:0.242696:0.354405:0.242696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.389859:0.252882:0.394890:0.252882:0.394890:0.242876:0.389859:0.242876:0.000000
∏:@0.317668:0.418767:0.327526:0.418767:0.327526:0.407754:0.317668:0.407754:0.000000
 = :@0.327406:0.419036:0.339672:0.419036:0.339672:0.408851:0.327406:0.408851:0.000000:0.000000:0.000000
x:@0.350212:0.407521:0.355063:0.407521:0.355063:0.397515:0.350212:0.397515:0.000000
 = 3:@0.355063:0.407521:0.373294:0.407521:0.373294:0.397335:0.355063:0.397335:0.000000:0.000000:0.000000:0.000000
v:@0.373294:0.407521:0.378325:0.407521:0.378325:0.397515:0.373294:0.397515:0.000000
y:@0.350212:0.418308:0.355075:0.418308:0.355075:0.408303:0.350212:0.408303:0.000000
 = 2  – 2 ,    :@0.355075:0.418308:0.414055:0.418308:0.414055:0.408123:0.355075:0.408123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.373306:0.418308:0.379367:0.418308:0.379367:0.408303:0.373306:0.408303:0.000000
v:@0.396447:0.418308:0.401478:0.418308:0.401478:0.408303:0.396447:0.408303:0.000000
∀:@0.414055:0.418038:0.422595:0.418038:0.422595:0.407026:0.414055:0.407026:0.000000
u, v:@0.422595:0.418308:0.437891:0.418308:0.437891:0.408303:0.422595:0.408303:0.000000:0.000000:0.000000:0.000000
 :@0.437891:0.418308:0.440514:0.418308:0.440514:0.408123:0.437891:0.408123:0.000000
∈ :@0.440514:0.418038:0.452049:0.418038:0.452049:0.407026:0.440514:0.407026:0.000000:0.000000
R:@0.452049:0.417751:0.460697:0.417751:0.460697:0.409390:0.452049:0.409390:0.000000
z:@0.350212:0.429096:0.354920:0.429096:0.354920:0.419090:0.350212:0.419090:0.000000
 = 1 + 2:@0.354920:0.429096:0.391381:0.429096:0.391381:0.418911:0.354920:0.418911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u – v:@0.391381:0.429096:0.412773:0.429096:0.412773:0.419090:0.391381:0.419090:0.000000:0.000000:0.000000:0.000000:0.000000
∏:@0.317668:0.496107:0.327526:0.496107:0.327526:0.485095:0.317668:0.485095:0.000000
 = :@0.327406:0.496377:0.339672:0.496377:0.339672:0.486192:0.327406:0.486192:0.000000:0.000000:0.000000
x:@0.350212:0.484861:0.355063:0.484861:0.355063:0.474855:0.350212:0.474855:0.000000
 = 1 + 3  + :@0.355063:0.484861:0.409970:0.484861:0.409970:0.474676:0.355063:0.474676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.391524:0.484861:0.397585:0.484861:0.397585:0.474855:0.391524:0.474855:0.000000
v:@0.409970:0.484861:0.415001:0.484861:0.415001:0.474855:0.409970:0.474855:0.000000
y:@0.350212:0.495649:0.355075:0.495649:0.355075:0.485643:0.350212:0.485643:0.000000
 = 2 + 2 ,         :@0.355075:0.495649:0.423290:0.495649:0.423290:0.485463:0.355075:0.485463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.391536:0.495649:0.397597:0.495649:0.397597:0.485643:0.391536:0.485643:0.000000
∀:@0.423290:0.495379:0.431830:0.495379:0.431830:0.484367:0.423290:0.484367:0.000000
u, v:@0.431830:0.495649:0.447126:0.495649:0.447126:0.485643:0.431830:0.485643:0.000000:0.000000:0.000000:0.000000
 :@0.447126:0.495649:0.449749:0.495649:0.449749:0.485463:0.447126:0.485463:0.000000
∈ :@0.449749:0.495379:0.461284:0.495379:0.461284:0.484367:0.449749:0.484367:0.000000:0.000000
R:@0.461284:0.495091:0.469932:0.495091:0.469932:0.486731:0.461284:0.486731:0.000000
z:@0.350212:0.506436:0.354920:0.506436:0.354920:0.496431:0.350212:0.496431:0.000000
 = 3 + :@0.354920:0.506436:0.385535:0.506436:0.385535:0.496251:0.354920:0.496251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.385535:0.506436:0.391596:0.506436:0.391596:0.496431:0.385535:0.496431:0.000000
Sí pertenecen al plano.:@0.354939:0.665569:0.452199:0.665569:0.452199:0.655527:0.354939:0.655527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 1, 1) Sí pertenece al :@0.354939:0.726736:0.453863:0.726736:0.453863:0.716694:0.354939:0.716694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano.:@0.354939:0.735537:0.381183:0.735537:0.381183:0.725495:0.354939:0.725495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, –2, 0) No pertenece al :@0.354939:0.744339:0.466668:0.744339:0.466668:0.734296:0.354939:0.734296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano.:@0.354939:0.753140:0.381183:0.753140:0.381183:0.743098:0.354939:0.743098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3/2, 1/3, 2) No pertenece :@0.354939:0.761941:0.468732:0.761941:0.468732:0.751899:0.354939:0.751899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al plano.:@0.354939:0.770742:0.390764:0.770742:0.390764:0.760700:0.354939:0.760700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 0, –1) Sí pertenece :@0.362174:0.906323:0.457909:0.906323:0.457909:0.896281:0.362174:0.896281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al plano.:@0.362174:0.915124:0.397999:0.915124:0.397999:0.905082:0.362174:0.905082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(5, 1, –2) No pertenece :@0.362174:0.923925:0.464324:0.923925:0.464324:0.913883:0.362174:0.913883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al plano.:@0.362174:0.932726:0.397999:0.932726:0.397999:0.922684:0.362174:0.922684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0, –1, 2) No pertenece :@0.362174:0.941527:0.464324:0.941527:0.464324:0.931485:0.362174:0.931485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al plano.:@0.362174:0.950328:0.397999:0.950328:0.397999:0.940286:0.362174:0.940286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000