intersectiondroiteetplan.py

Created by acrozak02

Created on March 23, 2021

672 Bytes

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P:4x+3y-2z+3=0

1) soir A()et B() le plan
p est la droite AB sont ils secantes.

la droite AB a pour vect directeur
AB()et le plan p a pour vect directeu
n(4,3,-2)
AB.n=0
AB et n sont ortho donc AB parallel P
le point B appartient P?
4xb+3yb-7zb+3=15 donc B appartient
pas a P

2.a demontrer que P et d sont secant

vect directeur u(1,1,2)
u.n=3 different 0 donc u et n
pas ortho donc d et P pas paralele
donc secant.

2.b determiner l'intersection
du plan P et de la droite d

M(x,y,z) intersection de la droite d
du plan P verifie le systeme suivant:
  
4x+3y-2z+3=0
x=t    ... .. . .. . .
y=3+t
z=3+2t

M(-2,1,-1)

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