Para poder tener una intersección entre una recta y un plano, la recta debe de tener parámetros en forma paramétrica, si esta en forma simétrica o incluso cartesiana, se tendrá que hacer una conversión a forma paramétrica.[br][br]Al hablar de intersección, tenemos que entender que el plano y la recta en algún momento estas se cruzaron, y van a estar definidas por un punto P(x,y,z).[br][img]data:image/png;base64,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[/img][br][br]Pará saber dónde está el punto P, dado el plano y la recta, se debe tomar la ecuación del plano pi=Ax+By+Cz=D y sustituirla por la de la recta x=c y=b z=a [br]Quedando A(c) +B(b) + C(a) = D, dando así una ecuación lineal. [br][br]Una vez hechas las operaciones de la ecuación lineal que dio de resultado, se llega a un resultado pi=t[br][br]Resolvemos para t; si la solución es única, con este valor de "t" obtenemos el punto de intersección sustituyendo en la ecuación de la recta.[br][br][img]data:image/png;base64,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[/img][br]Y, resolviendo para "t".[br][br][img]data:image/png;base64,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[/img][br][br]Si una ecuación a1x(t)+b1y(t)+c1z(t)= d1 tiene infinitas soluciones significa que la recta está en el plano y si no hay solución significa que la recta es paralela al plano pero es ajena a él.
si se tiene [math]\pi[/math]: x-3y+2z=-7 como plano[br]Y L: x=1 +2t; y=2-t; z=-t;
Miranda Valtierra Luis Angel[br]Ruiz García Abril[br]Castañeda Zuñiga Ulises[br]Gaddard Talavera Josué Alan