﻿72:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Evaluación sumativa:@0.372196:0.092326:0.750783:0.092326:0.750783:0.025337:0.372196:0.025337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Heteroevaluación:@0.165536:0.127270:0.289878:0.127270:0.289878:0.111797:0.165536:0.111797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe :@0.589005:0.779126:0.648205:0.779126:0.648205:0.762180:0.589005:0.762180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la posición relativa que existe :@0.652735:0.778663:0.881450:0.778663:0.881450:0.762166:0.652735:0.762166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.877290:0.778663:0.881432:0.778663:0.881432:0.762166:0.877290:0.762166:0.000000
entre los planos de las figuras.:@0.589005:0.796014:0.798761:0.796014:0.798761:0.779517:0.589005:0.779517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.552053:0.773836:0.563474:0.773836:0.563474:0.753206:0.552053:0.753206:0.000000
Encuentra:@0.589005:0.141559:0.667759:0.141559:0.667759:0.124613:0.589005:0.124613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones vectorial, pa-:@0.667761:0.141096:0.877298:0.141096:0.877298:0.124599:0.667761:0.124599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ramétrica y cartesiana del plano que pasa :@0.589005:0.158447:0.881432:0.158447:0.881432:0.141949:0.589005:0.141949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por los puntos  (1, 2, 3) y por los puntos :@0.589005:0.175798:0.881413:0.175798:0.881413:0.159300:0.589005:0.159300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.696274:0.175913:0.707544:0.175913:0.707544:0.159445:0.696274:0.159445:0.000000
 :@0.877271:0.175798:0.881413:0.175798:0.881413:0.159300:0.877271:0.159300:0.000000
B = :@0.589005:0.193264:0.617364:0.193264:0.617364:0.176795:0.589005:0.176795:0.000000:0.000000:0.000000:0.000000
(–2, –1, 0) y :@0.617364:0.193148:0.705656:0.193148:0.705656:0.176651:0.617364:0.176651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = :@0.705656:0.193264:0.734862:0.193264:0.734862:0.176795:0.705656:0.176795:0.000000:0.000000:0.000000:0.000000
(3, 3, 4).:@0.734862:0.193148:0.788805:0.193148:0.788805:0.176651:0.734862:0.176651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.552053:0.136270:0.563474:0.136270:0.563474:0.115640:0.552053:0.115640:0.000000
a):@0.167789:0.536432:0.182335:0.536432:0.182335:0.519718:0.167789:0.519718:0.000000:0.000000
 :@0.182335:0.536216:0.186477:0.536216:0.186477:0.519718:0.182335:0.519718:0.000000
Calcula:@0.191524:0.536678:0.248471:0.536678:0.248471:0.519732:0.191524:0.519732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  (0),  (1),  (2),  (3),  (4).:@0.248472:0.536216:0.431974:0.536216:0.431974:0.519718:0.248472:0.519718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.252614:0.536331:0.262016:0.536331:0.262016:0.519863:0.252614:0.519863:0.000000
h:@0.289315:0.536331:0.298716:0.536331:0.298716:0.519863:0.289315:0.519863:0.000000
h:@0.326015:0.536331:0.335416:0.536331:0.335416:0.519863:0.326015:0.519863:0.000000
h:@0.362715:0.536331:0.372117:0.536331:0.372117:0.519863:0.362715:0.519863:0.000000
h:@0.399416:0.536331:0.408817:0.536331:0.408817:0.519863:0.399416:0.519863:0.000000
b):@0.167789:0.553783:0.183799:0.553783:0.183799:0.537069:0.167789:0.537069:0.000000:0.000000
 :@0.183799:0.553566:0.187941:0.553566:0.187941:0.537069:0.183799:0.537069:0.000000
Prueba:@0.191524:0.554029:0.246026:0.554029:0.246026:0.537083:0.191524:0.537083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que la función  es estrictamente :@0.246026:0.553566:0.490614:0.553566:0.490614:0.537069:0.246026:0.537069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.356240:0.553682:0.369784:0.553682:0.369784:0.537213:0.356240:0.537213:0.000000:0.000000
decreciente sobre [0,1[, y estrictamente :@0.191524:0.570917:0.474334:0.570917:0.474334:0.554419:0.191524:0.554419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente sobre [1,∞).:@0.191524:0.588268:0.342812:0.588268:0.342812:0.571770:0.191524:0.571770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.167789:0.605836:0.182123:0.605836:0.182123:0.589121:0.167789:0.589121:0.000000:0.000000
 :@0.182123:0.605619:0.186265:0.605619:0.186265:0.589121:0.182123:0.589121:0.000000
Define:@0.191524:0.606081:0.242248:0.606081:0.242248:0.589135:0.191524:0.589135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función – y :@0.242248:0.605619:0.357319:0.605619:0.357319:0.589121:0.242248:0.589121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.331812:0.605734:0.345355:0.605734:0.345355:0.589266:0.331812:0.589266:0.000000:0.000000
traza:@0.357319:0.606081:0.396717:0.606081:0.396717:0.589135:0.357319:0.589135:0.000000:0.000000:0.000000:0.000000:0.000000
 las gráficas de :@0.396719:0.605619:0.502444:0.605619:0.502444:0.589121:0.396719:0.589121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las funciones   y –:@0.191524:0.622969:0.323258:0.622969:0.323258:0.606472:0.191524:0.606472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.287251:0.623085:0.296653:0.623085:0.296653:0.606616:0.287251:0.606616:0.000000
h.:@0.323258:0.623085:0.335203:0.623085:0.335203:0.606616:0.323258:0.606616:0.000000:0.000000
d):@0.167789:0.640537:0.183992:0.640537:0.183992:0.623822:0.167789:0.623822:0.000000:0.000000
 :@0.183992:0.640320:0.188134:0.640320:0.188134:0.623822:0.183992:0.623822:0.000000
Prueba:@0.191524:0.640783:0.246026:0.640783:0.246026:0.623837:0.191524:0.623837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que   no es inyectiva.:@0.246026:0.640320:0.402939:0.640320:0.402939:0.623822:0.246026:0.623822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.281320:0.640436:0.290721:0.640436:0.290721:0.623967:0.281320:0.623967:0.000000
a):@0.168656:0.851233:0.183202:0.851233:0.183202:0.834518:0.168656:0.834518:0.000000:0.000000
 :@0.183202:0.851016:0.187344:0.851016:0.187344:0.834518:0.183202:0.834518:0.000000
b):@0.168656:0.903285:0.184666:0.903285:0.184666:0.886571:0.168656:0.886571:0.000000:0.000000
 :@0.184666:0.903068:0.188808:0.903068:0.188808:0.886571:0.184666:0.886571:0.000000
b):@0.167789:0.343825:0.183799:0.343825:0.183799:0.327110:0.167789:0.327110:0.000000:0.000000
 :@0.183799:0.343608:0.187941:0.343608:0.187941:0.327110:0.183799:0.327110:0.000000
Define:@0.191524:0.344070:0.242248:0.344070:0.242248:0.327125:0.191524:0.327125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las funciones reales :@0.242248:0.343608:0.406037:0.343608:0.406037:0.327110:0.242248:0.327110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f + g – h:@0.412799:0.343723:0.498472:0.343723:0.498472:0.327255:0.412799:0.327255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.498472:0.343608:0.501227:0.343608:0.501227:0.327110:0.498472:0.327110:0.000000
–:@0.191524:0.360959:0.202024:0.360959:0.202024:0.344461:0.191524:0.344461:0.000000
f + g – h, :@0.202024:0.361074:0.267331:0.361074:0.267331:0.344605:0.202024:0.344605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –(–:@0.267331:0.360959:0.298425:0.360959:0.298425:0.344461:0.267331:0.344461:0.000000:0.000000:0.000000:0.000000
f – g – h):@0.298425:0.361074:0.361634:0.361074:0.361634:0.344605:0.298425:0.344605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.361634:0.360959:0.377740:0.360959:0.377740:0.344461:0.361634:0.344461:0.000000:0.000000:0.000000
compara :@0.377740:0.361421:0.450197:0.361421:0.450197:0.344475:0.377740:0.344475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la :@0.450197:0.360959:0.497087:0.360959:0.497087:0.344461:0.450197:0.344461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función  :@0.191524:0.378309:0.254791:0.378309:0.254791:0.361812:0.191524:0.361812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f + g + h:@0.254791:0.378425:0.314263:0.378425:0.314263:0.361956:0.254791:0.361956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.314263:0.378309:0.317018:0.378309:0.317018:0.361812:0.314263:0.361812:0.000000
Considera:@0.198557:0.204228:0.276117:0.204228:0.276117:0.187282:0.198557:0.187282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las funciones reales :@0.276119:0.203765:0.420664:0.203765:0.420664:0.187267:0.276119:0.187267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f, g, h,:@0.421011:0.203881:0.458906:0.203881:0.458906:0.187412:0.421011:0.187412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de-:@0.458906:0.203765:0.486842:0.203765:0.486842:0.187267:0.458906:0.187267:0.000000:0.000000:0.000000:0.000000
finidas en el intervalo :@0.198557:0.221116:0.353584:0.221116:0.353584:0.204618:0.198557:0.204618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[0, ):@0.355257:0.221276:0.391414:0.221276:0.391414:0.204061:0.355257:0.204061:0.000000:0.000000:0.000000:0.000000:0.000000
 como             :@0.402164:0.221116:0.485525:0.221116:0.485525:0.204618:0.402164:0.204618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula:@0.352845:0.279328:0.409793:0.279328:0.409793:0.262382:0.352845:0.262382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.409793:0.278865:0.412548:0.278865:0.412548:0.262367:0.409793:0.262367:0.000000
f x:@0.205561:0.247350:0.227815:0.247350:0.227815:0.230165:0.205561:0.230165:0.000000:0.000000:0.000000
( )=:@0.212999:0.247229:0.248662:0.247229:0.248662:0.230014:0.212999:0.230014:0.000000:0.000000:0.000000:0.000000
x:@0.266079:0.247350:0.273879:0.247350:0.273879:0.230165:0.266079:0.230165:0.000000
+:@0.276452:0.247199:0.292092:0.247199:0.292092:0.229049:0.276452:0.229049:0.000000
1,:@0.293097:0.247229:0.304757:0.247229:0.304757:0.230014:0.293097:0.230014:0.000000:0.000000
g x:@0.319151:0.247350:0.342651:0.247350:0.342651:0.230165:0.319151:0.230165:0.000000:0.000000:0.000000
( )=:@0.327835:0.247229:0.363498:0.247229:0.363498:0.230014:0.327835:0.230014:0.000000:0.000000:0.000000:0.000000
1:@0.396066:0.237839:0.404931:0.237839:0.404931:0.220624:0.396066:0.220624:0.000000
1:@0.381512:0.258931:0.390377:0.258931:0.390377:0.241716:0.381512:0.241716:0.000000
+:@0.390196:0.258901:0.405836:0.258901:0.405836:0.240751:0.390196:0.240751:0.000000
x:@0.408932:0.259052:0.416732:0.259052:0.416732:0.241867:0.408932:0.241867:0.000000
, ( )=:@0.421562:0.247229:0.476442:0.247229:0.476442:0.230014:0.421562:0.230014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h x:@0.431251:0.247350:0.455596:0.247350:0.455596:0.230165:0.431251:0.230165:0.000000:0.000000:0.000000
x:@0.480141:0.247350:0.487941:0.247350:0.487941:0.230165:0.480141:0.230165:0.000000
1,:@0.505900:0.247229:0.517640:0.247229:0.517640:0.230014:0.505900:0.230014:0.000000:0.000000
x:@0.525942:0.247350:0.533742:0.247350:0.533742:0.230165:0.525942:0.230165:0.000000
.:@0.567936:0.247229:0.570810:0.247229:0.570810:0.230014:0.567936:0.230014:0.000000
f x:@-0.021271:0.279275:0.000983:0.279275:0.000983:0.262091:-0.021271:0.262091:0.000000:0.000000:0.000000
( )=:@-0.013833:0.279155:0.021830:0.279155:0.021830:0.261940:-0.013833:0.261940:0.000000:0.000000:0.000000:0.000000
x:@0.039247:0.279275:0.047047:0.279275:0.047047:0.262091:0.039247:0.262091:0.000000
+:@0.049620:0.279125:0.065260:0.279125:0.065260:0.260974:0.049620:0.260974:0.000000
1,:@0.066265:0.279155:0.077925:0.279155:0.077925:0.261940:0.066265:0.261940:0.000000:0.000000
g x:@0.092319:0.279275:0.115819:0.279275:0.115819:0.262091:0.092319:0.262091:0.000000:0.000000:0.000000
( )=:@0.101003:0.279155:0.136666:0.279155:0.136666:0.261940:0.101003:0.261940:0.000000:0.000000:0.000000:0.000000
1:@0.169235:0.269764:0.178101:0.269764:0.178101:0.252549:0.169235:0.252549:0.000000
1:@0.154681:0.290856:0.163546:0.290856:0.163546:0.273642:0.154681:0.273642:0.000000
+:@0.163365:0.290826:0.179005:0.290826:0.179005:0.272676:0.163365:0.272676:0.000000
x:@0.182101:0.290977:0.189901:0.290977:0.189901:0.273792:0.182101:0.273792:0.000000
, ( )=:@0.194731:0.279155:0.249612:0.279155:0.249612:0.261940:0.194731:0.261940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h x:@0.204420:0.279275:0.228765:0.279275:0.228765:0.262091:0.204420:0.262091:0.000000:0.000000:0.000000
x:@0.253310:0.279275:0.261110:0.279275:0.261110:0.262091:0.253310:0.262091:0.000000
1,:@0.279067:0.279155:0.290807:0.279155:0.290807:0.261940:0.279067:0.261940:0.000000:0.000000
x:@0.299110:0.279275:0.306910:0.279275:0.306910:0.262091:0.299110:0.262091:0.000000
.:@0.341105:0.279155:0.343979:0.279155:0.343979:0.261940:0.341105:0.261940:0.000000
1:@0.161603:0.198938:0.173025:0.198938:0.173025:0.178308:0.161603:0.178308:0.000000
∏:@0.203229:0.850668:0.216334:0.850668:0.216334:0.835097:0.203229:0.835097:0.000000
1:@0.216665:0.852072:0.220724:0.852072:0.220724:0.844189:0.216665:0.844189:0.000000
=:@0.224004:0.850668:0.232746:0.850668:0.232746:0.835097:0.224004:0.835097:0.000000
(1, 2,0):@0.242745:0.850214:0.288715:0.850214:0.288715:0.836579:0.242745:0.836579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.256631:0.850668:0.265373:0.850668:0.265373:0.835097:0.256631:0.835097:0.000000
+:@0.290673:0.850668:0.299415:0.850668:0.299415:0.835097:0.290673:0.835097:0.000000
λ:@0.301867:0.850668:0.310609:0.850668:0.310609:0.835097:0.301867:0.835097:0.000000
(1,2,1) t(2,3,4)| ,t:@0.311071:0.850214:0.428472:0.850214:0.428472:0.836579:0.311071:0.836579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.347392:0.850668:0.356134:0.850668:0.356134:0.835097:0.347392:0.835097:0.000000
λ ∈:@0.410001:0.850668:0.442547:0.850668:0.442547:0.835097:0.410001:0.835097:0.000000:0.000000:0.000000
!:@0.442388:0.850907:0.453885:0.850907:0.453885:0.836435:0.442388:0.836435:0.000000
{:@0.235199:0.852940:0.242843:0.852940:0.242843:0.831140:0.235199:0.831140:0.000000
}:@0.454270:0.852940:0.461913:0.852940:0.461913:0.831140:0.454270:0.831140:0.000000
,:@0.463347:0.850214:0.465624:0.850214:0.465624:0.836579:0.463347:0.836579:0.000000
∏:@0.203226:0.871080:0.216331:0.871080:0.216331:0.855508:0.203226:0.855508:0.000000
2:@0.217038:0.872488:0.221098:0.872488:0.221098:0.864605:0.217038:0.864605:0.000000
=:@0.225331:0.871085:0.234072:0.871085:0.234072:0.855513:0.225331:0.855513:0.000000
(2,4,1):@0.244072:0.870630:0.281093:0.870630:0.281093:0.856995:0.244072:0.856995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.283052:0.871085:0.291794:0.871085:0.291794:0.855513:0.283052:0.855513:0.000000
β:@0.293577:0.871085:0.302319:0.871085:0.302319:0.855513:0.293577:0.855513:0.000000
(3,5,5) v(1,1,3)| ,v:@0.302446:0.870630:0.420644:0.870630:0.420644:0.856995:0.302446:0.856995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.341729:0.871085:0.350471:0.871085:0.350471:0.855513:0.341729:0.855513:0.000000
β ∈:@0.400676:0.871085:0.434879:0.871085:0.434879:0.855513:0.400676:0.855513:0.000000:0.000000:0.000000
!:@0.434720:0.871324:0.446217:0.871324:0.446217:0.856851:0.434720:0.856851:0.000000
{:@0.236526:0.873356:0.244169:0.873356:0.244169:0.851556:0.236526:0.851556:0.000000
}:@0.446632:0.873356:0.454275:0.873356:0.454275:0.851556:0.446632:0.851556:0.000000
.:@0.455055:0.870630:0.457332:0.870630:0.457332:0.856995:0.455055:0.856995:0.000000
∏:@0.203230:0.909422:0.216335:0.909422:0.216335:0.893850:0.203230:0.893850:0.000000
1:@0.216665:0.910829:0.220724:0.910829:0.220724:0.902946:0.216665:0.902946:0.000000
=:@0.224004:0.909426:0.232746:0.909426:0.232746:0.893854:0.224004:0.893854:0.000000
(3,2,1):@0.242745:0.908972:0.279098:0.908972:0.279098:0.895336:0.242745:0.895336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.281056:0.909426:0.289798:0.909426:0.289798:0.893854:0.281056:0.893854:0.000000
λ:@0.292250:0.909426:0.300992:0.909426:0.300992:0.893854:0.292250:0.893854:0.000000
(1,0,0) t(0,1,0)| ,t:@0.301454:0.908972:0.420177:0.908972:0.420177:0.895336:0.301454:0.895336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.340752:0.909426:0.349494:0.909426:0.349494:0.893854:0.340752:0.893854:0.000000
λ ∈:@0.401706:0.909426:0.434253:0.909426:0.434253:0.893854:0.401706:0.893854:0.000000:0.000000:0.000000
!:@0.434094:0.909665:0.445590:0.909665:0.445590:0.895193:0.434094:0.895193:0.000000
{:@0.235199:0.911698:0.242843:0.911698:0.242843:0.889898:0.235199:0.889898:0.000000
}:@0.445974:0.911698:0.453617:0.911698:0.453617:0.889898:0.445974:0.889898:0.000000
,:@0.455055:0.908972:0.457332:0.908972:0.457332:0.895336:0.455055:0.895336:0.000000
∏:@0.203230:0.929838:0.216335:0.929838:0.216335:0.914266:0.203230:0.914266:0.000000
2:@0.217038:0.931245:0.221098:0.931245:0.221098:0.923362:0.217038:0.923362:0.000000
=:@0.225331:0.929841:0.234072:0.929841:0.234072:0.914270:0.225331:0.914270:0.000000
(1,1,1):@0.244072:0.929387:0.276109:0.929387:0.276109:0.915752:0.244072:0.915752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.278068:0.929841:0.286810:0.929841:0.286810:0.914270:0.278068:0.914270:0.000000
β:@0.288593:0.929841:0.297335:0.929841:0.297335:0.914270:0.288593:0.914270:0.000000
(1,0,0) v(0,0|)| ,v:@0.297463:0.929387:0.415644:0.929387:0.415644:0.915752:0.297463:0.915752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.336761:0.929841:0.345503:0.929841:0.345503:0.914270:0.336761:0.914270:0.000000
β ∈:@0.395677:0.929841:0.429879:0.929841:0.429879:0.914270:0.395677:0.914270:0.000000:0.000000:0.000000
!:@0.429720:0.930080:0.441217:0.930080:0.441217:0.915608:0.429720:0.915608:0.000000
{:@0.236526:0.932113:0.244169:0.932113:0.244169:0.910313:0.236526:0.910313:0.000000
}:@0.441616:0.932113:0.449260:0.932113:0.449260:0.910313:0.441616:0.910313:0.000000
.:@0.450037:0.929387:0.452314:0.929387:0.452314:0.915752:0.450037:0.915752:0.000000
Determina:@0.199431:0.802118:0.282482:0.802118:0.282482:0.785173:0.199431:0.785173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes planos son :@0.282484:0.801656:0.491836:0.801656:0.491836:0.785158:0.282484:0.785158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelos:   = (:@0.199431:0.819006:0.303117:0.819006:0.303117:0.802509:0.199431:0.802509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.269287:0.819122:0.278072:0.819122:0.278072:0.802653:0.269287:0.802653:0.000000
x, y, z:@0.303117:0.819122:0.338873:0.819122:0.338873:0.802653:0.303117:0.802653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.338873:0.819006:0.347581:0.819006:0.347581:0.802509:0.338873:0.802509:0.000000:0.000000
4:@0.162479:0.796828:0.173901:0.796828:0.173901:0.776199:0.162479:0.776199:0.000000
a):@0.167789:0.312825:0.182335:0.312825:0.182335:0.296111:0.167789:0.296111:0.000000:0.000000
(:@0.190037:0.313271:0.196124:0.313271:0.196124:0.296401:0.190037:0.296401:0.000000
f:@0.212815:0.313390:0.217208:0.313390:0.217208:0.296549:0.212815:0.296549:0.000000
+:@0.221739:0.313242:0.237067:0.313242:0.237067:0.295454:0.221739:0.295454:0.000000
g h:@0.240514:0.313390:0.276606:0.313390:0.276606:0.296549:0.240514:0.296549:0.000000:0.000000:0.000000
)(0).:@0.275917:0.313271:0.304601:0.313271:0.304601:0.296401:0.275917:0.296401:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.190447:0.348350:0.204336:0.348350:0.204336:0.331479:0.190447:0.331479:0.000000:0.000000
1:@0.232311:0.339212:0.237334:0.339212:0.237334:0.329458:0.232311:0.329458:0.000000
=:@0.240570:0.336884:0.255898:0.336884:0.255898:0.319097:0.240570:0.319097:0.000000
(1, 2,0):@0.258518:0.336914:0.318688:0.336914:0.318688:0.320043:0.258518:0.320043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.320303:0.336884:0.335630:0.336884:0.335630:0.319097:0.320303:0.319097:0.000000
(1,2,1):@0.349643:0.336914:0.392158:0.336914:0.392158:0.320043:0.349643:0.320043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.393773:0.336884:0.409101:0.336884:0.409101:0.319097:0.393773:0.319097:0.000000
t:@0.410913:0.337032:0.416705:0.337032:0.416705:0.320191:0.410913:0.320191:0.000000
(2,3,4),:@0.417375:0.336914:0.468105:0.336914:0.468105:0.320043:0.417375:0.320043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.232772:0.362199:0.237795:0.362199:0.237795:0.352446:0.232772:0.352446:0.000000
=:@0.242212:0.359871:0.257539:0.359871:0.257539:0.342084:0.242212:0.342084:0.000000
(2,4,1):@0.260160:0.359901:0.305964:0.359901:0.305964:0.343030:0.260160:0.343030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.307579:0.359871:0.322907:0.359871:0.322907:0.342084:0.307579:0.342084:0.000000
(3,5,5):@0.334457:0.359901:0.380636:0.359901:0.380636:0.343030:0.334457:0.343030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.382252:0.359871:0.397579:0.359871:0.397579:0.342084:0.382252:0.342084:0.000000
v:@0.398978:0.360019:0.406937:0.360019:0.406937:0.343178:0.398978:0.343178:0.000000
(1,1,3).:@0.407488:0.359901:0.452052:0.359901:0.452052:0.343030:0.407488:0.343030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.189626:0.396634:0.205151:0.396634:0.205151:0.379763:0.189626:0.379763:0.000000:0.000000
1:@0.233132:0.387497:0.238155:0.387497:0.238155:0.377744:0.233132:0.377744:0.000000
=:@0.241391:0.385170:0.256718:0.385170:0.256718:0.367382:0.241391:0.367382:0.000000
(3,2,1):@0.259339:0.385199:0.304316:0.385199:0.304316:0.368328:0.259339:0.368328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.305931:0.385170:0.321258:0.385170:0.321258:0.367382:0.305931:0.367382:0.000000
(1,0,0):@0.335278:0.385199:0.381477:0.385199:0.381477:0.368328:0.335278:0.368328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.383092:0.385170:0.398419:0.385170:0.398419:0.367382:0.383092:0.367382:0.000000
t:@0.400232:0.385317:0.406024:0.385317:0.406024:0.368476:0.400232:0.368476:0.000000
(0,1,0),:@0.406694:0.385199:0.455375:0.385199:0.455375:0.368328:0.406694:0.368328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.233593:0.410485:0.238616:0.410485:0.238616:0.400731:0.233593:0.400731:0.000000
=:@0.243033:0.408157:0.258360:0.408157:0.258360:0.390369:0.243033:0.390369:0.000000
(1,1,1):@0.260980:0.408186:0.300618:0.408186:0.300618:0.391316:0.260980:0.391316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.302234:0.408157:0.317561:0.408157:0.317561:0.390369:0.302234:0.390369:0.000000
(1,0,0):@0.329122:0.408186:0.375320:0.408186:0.375320:0.391316:0.329122:0.391316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.376936:0.408157:0.392263:0.408157:0.392263:0.390369:0.376936:0.390369:0.000000
v:@0.393662:0.408305:0.401621:0.408305:0.401621:0.391463:0.393662:0.391463:0.000000
(0,01).:@0.402172:0.408186:0.446283:0.408186:0.446283:0.391316:0.402172:0.391316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   la función real definida en :@0.198557:0.425041:0.436866:0.425041:0.436866:0.408544:0.198557:0.408544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.228245:0.425157:0.237646:0.425157:0.237646:0.408688:0.228245:0.408688:0.000000
[0, ):@0.439934:0.425741:0.476091:0.425741:0.476091:0.408526:0.439934:0.408526:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.486841:0.425041:0.490983:0.425041:0.490983:0.408544:0.486841:0.408544:0.000000
como sigue: :@0.198555:0.442392:0.287233:0.442392:0.287233:0.425894:0.198555:0.425894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.161603:0.418202:0.173025:0.418202:0.173025:0.397572:0.161603:0.397572:0.000000
h x:@0.256740:0.472667:0.280089:0.472667:0.280089:0.456198:0.256740:0.456198:0.000000:0.000000:0.000000
( )=:@0.265910:0.472551:0.300009:0.472551:0.300009:0.456053:0.265910:0.456053:0.000000:0.000000:0.000000:0.000000
1:@0.320354:0.453104:0.328850:0.453104:0.328850:0.436606:0.320354:0.436606:0.000000
x:@0.345318:0.453217:0.352793:0.453217:0.352793:0.436749:0.345318:0.436749:0.000000
, si 0:@0.354797:0.453102:0.385794:0.453102:0.385794:0.436604:0.354797:0.436604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.405942:0.453217:0.413416:0.453217:0.413416:0.436749:0.405942:0.436749:0.000000
<1,:@0.416248:0.453102:0.438943:0.453102:0.438943:0.436604:0.416248:0.436604:0.000000:0.000000:0.000000
1:@0.320192:0.484449:0.328688:0.484449:0.328688:0.467951:0.320192:0.467951:0.000000
1:@0.346546:0.475459:0.355042:0.475459:0.355042:0.458961:0.346546:0.458961:0.000000
x:@0.346700:0.495774:0.354175:0.495774:0.354175:0.479305:0.346700:0.479305:0.000000
, si1:@0.358691:0.484456:0.388476:0.484456:0.388476:0.467959:0.358691:0.467959:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.406645:0.484572:0.414120:0.484572:0.414120:0.468103:0.406645:0.468103:0.000000
.:@0.415392:0.484456:0.418147:0.484456:0.418147:0.467959:0.415392:0.467959:0.000000
a):@0.561320:0.341034:0.575865:0.341034:0.575865:0.324320:0.561320:0.324320:0.000000:0.000000
 :@0.575865:0.340817:0.580007:0.340817:0.580007:0.324320:0.575865:0.324320:0.000000
Determina:@0.585055:0.341280:0.668106:0.341280:0.668106:0.324334:0.585055:0.324334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la posición relativa entre los :@0.668107:0.340817:0.872088:0.340817:0.872088:0.324320:0.668107:0.324320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos planos.:@0.585055:0.358168:0.664599:0.358168:0.664599:0.341670:0.585055:0.341670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.561320:0.386421:0.577329:0.386421:0.577329:0.369706:0.561320:0.369706:0.000000:0.000000
  En caso de que los planos se corten, :@0.577329:0.386204:0.843417:0.386204:0.843417:0.369706:0.577329:0.369706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deter-:@0.843417:0.386667:0.889793:0.386667:0.889793:0.369721:0.843417:0.369721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mina:@0.585055:0.404017:0.624356:0.404017:0.624356:0.387071:0.585055:0.387071:0.000000:0.000000:0.000000:0.000000
 la ecuación de la recta intersección :@0.624356:0.403555:0.880908:0.403555:0.880908:0.387057:0.624356:0.387057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los dos planos.:@0.585055:0.420905:0.710449:0.420905:0.710449:0.404408:0.585055:0.404408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera:@0.589005:0.246378:0.666565:0.246378:0.666565:0.229432:0.589005:0.229432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los planos:@0.666567:0.245915:0.741372:0.245915:0.741372:0.229417:0.666567:0.229417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.552053:0.241089:0.563474:0.241089:0.563474:0.220459:0.552053:0.220459:0.000000
1:@0.579202:0.271223:0.583834:0.271223:0.583834:0.261584:0.579202:0.261584:0.000000
=:@0.587192:0.268983:0.597374:0.268983:0.597374:0.252330:0.587192:0.252330:0.000000
x:@0.608843:0.269100:0.615885:0.269100:0.615885:0.252476:0.608843:0.252476:0.000000
=(1,2,3):@0.619987:0.268983:0.674053:0.268983:0.674053:0.252330:0.619987:0.252330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.675451:0.268954:0.689571:0.268954:0.689571:0.251396:0.675451:0.251396:0.000000
u:@0.690787:0.269100:0.699462:0.269100:0.699462:0.252476:0.690787:0.252476:0.000000
(1,1, 2):@0.699426:0.268983:0.753619:0.268983:0.753619:0.252330:0.699426:0.252330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.755017:0.268954:0.769137:0.268954:0.769137:0.251396:0.755017:0.251396:0.000000
v:@0.770353:0.269100:0.777685:0.269100:0.777685:0.252476:0.770353:0.252476:0.000000
(0,1,1)| ,:@0.778193:0.268983:0.838067:0.268983:0.838067:0.252330:0.778193:0.252330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.825762:0.269100:0.845908:0.269100:0.845908:0.252476:0.825762:0.252476:0.000000:0.000000:0.000000
{:@0.599177:0.270557:0.608252:0.270557:0.608252:0.248960:0.599177:0.248960:0.000000
}:@0.876043:0.270557:0.885118:0.270557:0.885118:0.248960:0.876043:0.248960:0.000000
,:@0.886308:0.268983:0.888903:0.268983:0.888903:0.252330:0.886308:0.252330:0.000000
2:@0.579646:0.296804:0.584278:0.296804:0.584278:0.287165:0.579646:0.287165:0.000000
=:@0.588720:0.294564:0.598902:0.294564:0.598902:0.277911:0.588720:0.277911:0.000000
x:@0.610371:0.294681:0.617413:0.294681:0.617413:0.278057:0.610371:0.278057:0.000000
=(1, 2,4):@0.621515:0.294564:0.689206:0.294564:0.689206:0.277911:0.621515:0.277911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.690603:0.294535:0.704723:0.294535:0.704723:0.276977:0.690603:0.276977:0.000000
r:@0.706738:0.294681:0.712418:0.294681:0.712418:0.278057:0.706738:0.278057:0.000000
(1,2,0):@0.713453:0.294564:0.755541:0.294564:0.755541:0.277911:0.713453:0.277911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.756938:0.294535:0.771059:0.294535:0.771059:0.276977:0.756938:0.276977:0.000000
s:@0.773418:0.294681:0.779425:0.294681:0.779425:0.278057:0.773418:0.278057:0.000000
(0,1,1)| ,:@0.779389:0.294564:0.838138:0.294564:0.838138:0.277911:0.779389:0.277911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r s:@0.827757:0.294681:0.845797:0.294681:0.845797:0.278057:0.827757:0.278057:0.000000:0.000000:0.000000
{:@0.600705:0.296138:0.609780:0.296138:0.609780:0.274541:0.600705:0.274541:0.000000
}:@0.875357:0.296138:0.884432:0.296138:0.884432:0.274541:0.875357:0.274541:0.000000
.:@0.884928:0.294564:0.887523:0.294564:0.887523:0.277911:0.884928:0.277911:0.000000
Sean , ∏ , ∏  los planos definidos como::@0.589911:0.466536:0.870103:0.466536:0.870103:0.450038:0.589911:0.450038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.647128:0.469813:0.652081:0.469813:0.652081:0.460195:0.647128:0.460195:0.000000
2:@0.671501:0.469813:0.676454:0.469813:0.676454:0.460195:0.671501:0.460195:0.000000
Prueba:@0.589913:0.563006:0.644414:0.563006:0.644414:0.546060:0.589913:0.546060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que ∏    ∏ es una recta.:@0.644414:0.562543:0.832492:0.562545:0.832492:0.546047:0.644414:0.546046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.692227:0.565821:0.697180:0.565821:0.697180:0.556203:0.692227:0.556203:0.000000
:@0.701322:0.562328:0.717370:0.562328:0.717370:0.547681:0.701322:0.547681:0.000000
2  :@0.734034:0.565821:0.743817:0.565821:0.743817:0.556203:0.734034:0.556203:0.000000:0.000000:0.000000
7:@0.552957:0.461709:0.564379:0.461709:0.564379:0.441079:0.552957:0.441079:0.000000
1:@0.582694:0.498702:0.588266:0.498702:0.588266:0.487883:0.582694:0.487883:0.000000
=:@0.592304:0.496188:0.604549:0.496188:0.604549:0.477496:0.592304:0.477496:0.000000
x:@0.618345:0.496319:0.626814:0.496319:0.626814:0.477660:0.618345:0.477660:0.000000
=( , , ):@0.630920:0.496188:0.700727:0.496188:0.700727:0.477496:0.630920:0.477496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.653403:0.496319:0.693916:0.496319:0.693916:0.477660:0.653403:0.477660:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.736739:0.487082:0.742311:0.487082:0.742311:0.476263:0.736739:0.476263:0.000000
|2:@0.746052:0.496188:0.763275:0.496188:0.763275:0.477496:0.746052:0.477496:0.000000:0.000000
x:@0.764868:0.496319:0.773338:0.496319:0.773338:0.477660:0.764868:0.477660:0.000000
3 =0 ,:@0.793624:0.496188:0.858079:0.496188:0.858079:0.477496:0.793624:0.477496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.804844:0.496319:0.813553:0.496319:0.813553:0.477660:0.804844:0.477660:0.000000
{:@0.606717:0.502377:0.617632:0.502377:0.617632:0.467691:0.606717:0.467691:0.000000
}:@0.842617:0.502377:0.853531:0.502377:0.853531:0.467691:0.842617:0.467691:0.000000
2:@0.583229:0.535964:0.588801:0.535964:0.588801:0.525144:0.583229:0.525144:0.000000
=:@0.594143:0.533450:0.606389:0.533450:0.606389:0.514757:0.594143:0.514757:0.000000
x:@0.620184:0.533581:0.628654:0.533581:0.628654:0.514921:0.620184:0.514921:0.000000
=( , , ):@0.632759:0.533450:0.702566:0.533450:0.702566:0.514757:0.632759:0.514757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.655242:0.533581:0.695756:0.533581:0.695756:0.514921:0.655242:0.514921:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.738579:0.524345:0.744151:0.524345:0.744151:0.513526:0.738579:0.513526:0.000000
|:@0.747892:0.533450:0.753567:0.533450:0.753567:0.514757:0.747892:0.514757:0.000000
x:@0.756797:0.533581:0.765267:0.533581:0.765267:0.514921:0.756797:0.514921:0.000000
+:@0.767952:0.533417:0.784934:0.533417:0.784934:0.513709:0.767952:0.513709:0.000000
2:@0.786877:0.533450:0.796503:0.533450:0.796503:0.514757:0.786877:0.514757:0.000000
y z:@0.798555:0.533581:0.836152:0.533581:0.836152:0.514921:0.798555:0.514921:0.000000:0.000000:0.000000
=0 .:@0.839841:0.533450:0.879670:0.533450:0.879670:0.514757:0.839841:0.514757:0.000000:0.000000:0.000000:0.000000
{:@0.608557:0.539639:0.619471:0.539639:0.619471:0.504952:0.608557:0.504952:0.000000
}:@0.865040:0.539639:0.875954:0.539639:0.875954:0.504952:0.865040:0.504952:0.000000
Las ecuaciones paramétricas de una rec-:@0.589005:0.617532:0.877290:0.617532:0.877290:0.601034:0.589005:0.601034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta   están definidas como::@0.589005:0.634882:0.776298:0.634882:0.776298:0.618385:0.589005:0.618385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.607384:0.634998:0.616959:0.634998:0.616959:0.618529:0.607384:0.618529:0.000000
Obtén:@0.589005:0.721954:0.638363:0.721954:0.638363:0.705008:0.589005:0.705008:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de la recta  .:@0.638363:0.721491:0.877246:0.721491:0.877246:0.704994:0.638363:0.704994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.864916:0.721607:0.874491:0.721607:0.874491:0.705138:0.864916:0.705138:0.000000
8:@0.552053:0.612705:0.563474:0.612705:0.563474:0.592076:0.552053:0.592076:0.000000
x:@0.662818:0.656013:0.670380:0.656013:0.670380:0.639352:0.662818:0.639352:0.000000
=3 2 ,:@0.674044:0.655896:0.732244:0.655896:0.732244:0.639205:0.674044:0.639205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.721875:0.656013:0.727605:0.656013:0.727605:0.639352:0.721875:0.639352:0.000000
y:@0.663248:0.677121:0.671025:0.677121:0.671025:0.660460:0.663248:0.660460:0.000000
=5 3 ,:@0.674474:0.677004:0.731815:0.677004:0.731815:0.660313:0.674474:0.660314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.721446:0.677120:0.727176:0.677120:0.727176:0.660459:0.721446:0.660459:0.000000
z:@0.662819:0.700057:0.669543:0.700057:0.669543:0.683396:0.662819:0.683396:0.000000
=4 2 ,:@0.672837:0.699940:0.733063:0.699940:0.733063:0.683250:0.672837:0.683250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.696947:0.699911:0.712110:0.699911:0.712110:0.682313:0.696947:0.682313:0.000000
t:@0.722694:0.700057:0.728424:0.700057:0.728424:0.683396:0.722694:0.683396:0.000000
t:@0.760640:0.676802:0.766370:0.676802:0.766370:0.660141:0.760640:0.660141:0.000000
.:@0.799303:0.676685:0.802090:0.676685:0.802090:0.659995:0.799303:0.659995:0.000000
n:@0.722952:0.894069:0.732963:0.894069:0.732963:0.876553:0.722952:0.876553:0.000000
2:@0.732962:0.897326:0.738154:0.897326:0.738154:0.887113:0.732962:0.887113:0.000000
n:@0.678073:0.830948:0.688084:0.830948:0.688084:0.813431:0.678073:0.813431:0.000000
1:@0.688084:0.834204:0.693276:0.834204:0.693276:0.823992:0.688084:0.823992:0.000000
n:@0.860840:0.876377:0.870851:0.876377:0.870851:0.858860:0.860840:0.858860:0.000000
1:@0.870849:0.879633:0.876041:0.879633:0.876041:0.869420:0.870849:0.869420:0.000000
n = :@0.811420:0.876378:0.844353:0.876629:0.844353:0.859113:0.811420:0.858861:0.000000:0.000000:0.000000:0.000000
2:@0.821429:0.879634:0.826621:0.879634:0.826621:0.869422:0.821429:0.869422:0.000000
I.M.5.3.1. / I.M.5.7.1.:@0.184647:0.153122:0.278847:0.153122:0.278847:0.142807:0.184647:0.142807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expreso mis emociones:@0.199091:0.684280:0.354115:0.684280:0.354115:0.669544:0.199091:0.669544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo te sientes si tus compañeros ha-:@0.199430:0.705784:0.486521:0.705784:0.486521:0.689286:0.199430:0.689286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cen chistes y bromas sobre ti? :@0.199430:0.723135:0.415025:0.723135:0.415025:0.706637:0.199430:0.706637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comenta :@0.415411:0.723597:0.490507:0.723597:0.490507:0.706652:0.415411:0.706652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con ellos sobre cómo te has sentido.:@0.199430:0.740486:0.457043:0.740486:0.457043:0.723988:0.199430:0.723988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.162953:0.695255:0.174375:0.695255:0.174375:0.674625:0.162953:0.674625:0.000000
–1:@0.331702:0.308859:0.343264:0.308859:0.343264:0.298816:0.331702:0.298816:0.000000:0.000000
Planos paralelos.:@0.766328:0.918802:0.836745:0.918802:0.836745:0.908760:0.766328:0.908760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.119153:0.944806:0.129271:0.944806:0.129271:0.933178:0.119153:0.933178:0.000000:0.000000
 :@0.129271:0.944735:0.132153:0.944735:0.132153:0.933279:0.129271:0.933279:0.000000
Vectores normales de cada plano.:@0.132153:0.944655:0.298441:0.944655:0.298441:0.933178:0.132153:0.933178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        = (1, 2, 1) × (2, 3, 4) = (5, –2, –1), :@0.119153:0.953456:0.309126:0.953456:0.309126:0.941979:0.119153:0.941979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.133560:0.953537:0.140073:0.953537:0.140073:0.942080:0.133560:0.942080:0.000000
1:@0.140073:0.955736:0.143518:0.955736:0.143518:0.949045:0.140073:0.949045:0.000000
:@0.135705:0.953798:0.140168:0.953798:0.140168:0.942794:0.135705:0.942794:0.000000
        = (3, 5, 5) × (1, 1, 3) = (10, –4, –2) =:@0.119154:0.962257:0.320638:0.962257:0.320638:0.950781:0.119154:0.950781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.133560:0.962338:0.140073:0.962338:0.140073:0.950881:0.133560:0.950881:0.000000
2:@0.140073:0.964537:0.143518:0.964537:0.143518:0.957846:0.140073:0.957846:0.000000
:@0.135705:0.962599:0.140168:0.962599:0.140168:0.951595:0.135705:0.951595:0.000000
             2(5, –2, –1) = 2  . :@0.119154:0.971058:0.246886:0.971058:0.246886:0.959582:0.119154:0.959582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.231928:0.971139:0.238442:0.971139:0.238442:0.959682:0.231928:0.959682:0.000000
1:@0.238441:0.973338:0.241887:0.973338:0.241887:0.966647:0.238441:0.966647:0.000000
:@0.234074:0.971400:0.238537:0.971400:0.238537:0.960396:0.234074:0.960396:0.000000
     ∏  || ∏ .:@0.119152:0.979859:0.172522:0.979859:0.172522:0.968383:0.119152:0.968383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.142271:0.982139:0.145716:0.982139:0.145716:0.975448:0.142271:0.975448:0.000000
2:@0.167160:0.982139:0.170605:0.982139:0.170605:0.975448:0.167160:0.975448:0.000000
b):@0.352175:0.944806:0.363312:0.944806:0.363312:0.933178:0.352175:0.933178:0.000000:0.000000
 n:@0.363312:0.944735:0.372709:0.944735:0.372709:0.933279:0.363312:0.933279:0.000000:0.000000
1:@0.372708:0.946935:0.376154:0.946935:0.376154:0.940244:0.372708:0.940244:0.000000
:@0.368341:0.944997:0.372804:0.944997:0.372804:0.933993:0.368341:0.933993:0.000000
  = (1, 0, 0) × (0, 1, 0) = (0, 0, 1), :@0.372804:0.944655:0.527154:0.944655:0.527154:0.933178:0.372804:0.933178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        = (1, 0, 0) × (0, 0, 1) = (0, –1, 0). :@0.352178:0.953456:0.534846:0.953456:0.534846:0.941979:0.352178:0.941979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.366584:0.953537:0.373097:0.953537:0.373097:0.942080:0.366584:0.942080:0.000000
2:@0.373097:0.955736:0.376542:0.955736:0.376542:0.949045:0.373097:0.949045:0.000000
:@0.368729:0.953798:0.373192:0.953798:0.373192:0.942794:0.368729:0.942794:0.000000
     ∏  y ∏  no son paralelos.:@0.352178:0.962257:0.487672:0.962257:0.487672:0.950781:0.352178:0.950781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.375295:0.964537:0.378740:0.964537:0.378740:0.957846:0.375295:0.957846:0.000000
2:@0.398656:0.964537:0.402102:0.964537:0.402102:0.957846:0.398656:0.957846:0.000000
5.:@0.334627:0.091064:0.342788:0.091064:0.342788:0.080749:0.334627:0.080749:0.000000:0.000000
 Se obtiene   =   –   = (–3, –3, –3),:@0.342788:0.090782:0.498073:0.090782:0.498073:0.080740:0.342788:0.080740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u B A:@0.393529:0.090853:0.434444:0.090853:0.434444:0.080828:0.393529:0.080828:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.395031:0.091081:0.398936:0.091081:0.398936:0.081453:0.395031:0.081453:0.000000
        =   –   = (2, 1, 1).:@0.334627:0.099583:0.435359:0.099583:0.435359:0.089541:0.334627:0.089541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.349754:0.099654:0.354492:0.099654:0.354492:0.089629:0.349754:0.089629:0.000000
:@0.350974:0.099883:0.354879:0.099883:0.354879:0.090254:0.350974:0.090254:0.000000
C A:@0.366500:0.099654:0.390903:0.099654:0.390903:0.089629:0.366500:0.089629:0.000000:0.000000:0.000000
      Ecuación vectorial:@0.334627:0.108384:0.428415:0.108384:0.428415:0.098342:0.334627:0.098342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        = (1, 2, 3) +  (–3, –3, –3) +  (2, 1, 1),:@0.334627:0.117185:0.517410:0.117185:0.517410:0.107143:0.334627:0.107143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.349754:0.117256:0.354304:0.117256:0.354304:0.107231:0.349754:0.107231:0.000000
:@0.351079:0.117485:0.354984:0.117485:0.354984:0.107856:0.351079:0.107856:0.000000
α:@0.409384:0.122115:0.416115:0.122115:0.416115:0.110025:0.409384:0.110025:0.000000
β:@0.478067:0.122115:0.484576:0.122115:0.484576:0.110025:0.478067:0.110025:0.000000
       ,      .:@0.334627:0.125987:0.392146:0.125987:0.392146:0.115945:0.334627:0.115945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β:@0.349754:0.130916:0.367192:0.130916:0.367192:0.118826:0.349754:0.118826:0.000000:0.000000:0.000000
:@0.369713:0.125855:0.379481:0.125855:0.379481:0.116939:0.369713:0.116939:0.000000
R:@0.382002:0.125397:0.390469:0.125397:0.390469:0.117212:0.382002:0.117212:0.000000
      Ecuaciones paramétricas::@0.334627:0.134788:0.457767:0.134788:0.457767:0.124746:0.334627:0.124746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      :@0.334627:0.154282:0.349754:0.154282:0.349754:0.144240:0.334627:0.144240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.358077:0.143061:0.362627:0.143061:0.362627:0.133036:0.358077:0.133036:0.000000
 = 1 – 3  + 2 ,:@0.362627:0.142990:0.427733:0.142990:0.427733:0.132948:0.362627:0.132948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.396024:0.147920:0.402755:0.147920:0.402755:0.135830:0.396024:0.135830:0.000000
β:@0.419548:0.147920:0.426056:0.147920:0.426056:0.135830:0.419548:0.135830:0.000000
y:@0.358077:0.151862:0.362756:0.151862:0.362756:0.141837:0.358077:0.141837:0.000000
 = 2 – 3  +  ,:@0.362756:0.151791:0.422691:0.151791:0.422691:0.141749:0.362756:0.141749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β:@0.396153:0.156721:0.421014:0.156721:0.421014:0.144631:0.396153:0.144631:0.000000:0.000000:0.000000
z:@0.358077:0.160663:0.362122:0.160663:0.362122:0.150638:0.358077:0.150638:0.000000
 = 3 – 3  +  ,:@0.362122:0.160593:0.422057:0.160593:0.422057:0.150550:0.362122:0.150550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β:@0.395520:0.165522:0.420380:0.165522:0.420380:0.153432:0.395520:0.153432:0.000000:0.000000:0.000000
 :@0.439284:0.154282:0.441805:0.154282:0.441805:0.144240:0.439284:0.144240:0.000000
α β:@0.455244:0.159212:0.472681:0.159212:0.472681:0.147122:0.455244:0.147122:0.000000:0.000000:0.000000
,      .:@0.461975:0.154282:0.497636:0.154282:0.497636:0.144240:0.461975:0.144240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.475203:0.154150:0.484971:0.154150:0.484971:0.145235:0.475203:0.145235:0.000000
R:@0.487492:0.153692:0.495959:0.153692:0.495959:0.145507:0.487492:0.145507:0.000000
      Ecuación cartesiana::@0.334623:0.171884:0.436305:0.171884:0.436305:0.161842:0.334623:0.161842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      ( ,  ,  )     tal que –  +   = 1.:@0.334623:0.180685:0.485125:0.180684:0.485125:0.170642:0.334623:0.170643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.353374:0.180756:0.375045:0.180756:0.375045:0.170731:0.353374:0.170731:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.381190:0.180553:0.390958:0.180553:0.390958:0.171638:0.381190:0.171638:0.000000
R:@0.393479:0.180096:0.401946:0.180096:0.401946:0.171911:0.393479:0.171911:0.000000
3:@0.401948:0.176818:0.404963:0.176818:0.404963:0.170963:0.401948:0.170963:0.000000
y z:@0.446310:0.180755:0.466656:0.180755:0.466656:0.170730:0.446310:0.170730:0.000000:0.000000:0.000000
a):@0.678471:0.347306:0.688590:0.347306:0.688590:0.335678:0.678471:0.335678:0.000000:0.000000
 :@0.688590:0.347235:0.691471:0.347235:0.691471:0.335779:0.688590:0.335779:0.000000
Vectores normales a cada plano.:@0.691471:0.347155:0.850790:0.347155:0.850790:0.335678:0.691471:0.335678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        = (1, 1, –2) × (0, 1, 1) = (3, –1, 1),:@0.678471:0.355956:0.865564:0.355956:0.865564:0.344479:0.678471:0.344479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.692878:0.356036:0.699391:0.356036:0.699391:0.344580:0.692878:0.344580:0.000000
1:@0.699392:0.358236:0.702837:0.358236:0.702837:0.351545:0.699392:0.351545:0.000000
:@0.695024:0.356298:0.699487:0.356298:0.699487:0.345294:0.695024:0.345294:0.000000
        = (1, 2, 0) × (0, 1, 1) = (2, –1, 1). :@0.678473:0.364757:0.861141:0.364757:0.861141:0.353280:0.678473:0.353280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.692879:0.364837:0.699392:0.364837:0.699392:0.353381:0.692879:0.353381:0.000000
2:@0.699392:0.367037:0.702837:0.367037:0.702837:0.360346:0.699392:0.360346:0.000000
:@0.695024:0.365099:0.699487:0.365099:0.699487:0.354095:0.695024:0.354095:0.000000
     ∏  y ∏  no son paralelos.:@0.678473:0.373558:0.813967:0.373558:0.813967:0.362081:0.678473:0.362081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.701590:0.375838:0.705035:0.375838:0.705035:0.369147:0.701590:0.369147:0.000000
2:@0.724951:0.375838:0.728396:0.375838:0.728396:0.369147:0.724951:0.369147:0.000000
∏    ∏  = { (3, 2, 7) |      }.:@0.692717:0.584041:0.818654:0.584041:0.818654:0.573999:0.692717:0.573999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.700340:0.586036:0.703355:0.586036:0.703355:0.580182:0.700340:0.580182:0.000000
:@0.705876:0.583909:0.715645:0.583909:0.715645:0.574994:0.705876:0.574994:0.000000
2:@0.725788:0.586036:0.728803:0.586036:0.728803:0.580182:0.725788:0.580182:0.000000
t:@0.743990:0.584112:0.747438:0.584112:0.747438:0.574087:0.743990:0.574087:0.000000
t:@0.786687:0.584112:0.790134:0.584112:0.790134:0.574087:0.786687:0.574087:0.000000
:@0.792656:0.583909:0.802424:0.583909:0.802424:0.574994:0.792656:0.574994:0.000000
R:@0.804945:0.583452:0.813412:0.583452:0.813412:0.575267:0.804945:0.575267:0.000000
r t:@0.692721:0.743430:0.705022:0.743430:0.705022:0.733405:0.692721:0.733405:0.000000:0.000000:0.000000
:@0.694046:0.743658:0.697951:0.743658:0.697951:0.734030:0.694046:0.734030:0.000000
( ) = (3, 5, 4) + t(–2, –3, 2),      .:@0.697951:0.743359:0.843385:0.743359:0.843385:0.733317:0.697951:0.733317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.814983:0.743430:0.818431:0.743430:0.818431:0.733405:0.814983:0.733405:0.000000
:@0.820952:0.743227:0.830720:0.743227:0.830720:0.734312:0.820952:0.734312:0.000000
R:@0.833242:0.742769:0.841708:0.742769:0.841708:0.734584:0.833242:0.734584:0.000000
b):@0.680168:0.427362:0.691305:0.427362:0.691305:0.415734:0.680168:0.415734:0.000000:0.000000
 :@0.691305:0.427291:0.694187:0.427291:0.694187:0.415835:0.691305:0.415835:0.000000
Recta de intersección:   = ∏    ∏  =:@0.694187:0.427211:0.875943:0.427211:0.875943:0.415734:0.694187:0.415734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.805059:0.427291:0.811720:0.427291:0.811720:0.415835:0.805059:0.415835:0.000000
1:@0.833712:0.429491:0.837158:0.429491:0.837158:0.422800:0.833712:0.422800:0.000000
:@0.840040:0.426909:0.850506:0.426909:0.850506:0.417357:0.840040:0.417357:0.000000
2:@0.862098:0.429491:0.865543:0.429491:0.865543:0.422800:0.862098:0.422800:0.000000
     {(–4, 0, 16) +  (0, 1, 1) |      }.:@0.680168:0.436012:0.847593:0.436012:0.847593:0.424535:0.680168:0.424535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.760754:0.436092:0.766101:0.436092:0.766101:0.424636:0.760754:0.424636:0.000000
y:@0.810958:0.436092:0.816305:0.436092:0.816305:0.424636:0.810958:0.424636:0.000000
:@0.819185:0.435710:0.829651:0.435710:0.829651:0.426158:0.819185:0.426158:0.000000
R:@0.832531:0.435220:0.841603:0.435220:0.841603:0.426450:0.832531:0.426450:0.000000