seacntepprepresentationpara.py

Created by acrozak02

Created on March 23, 2021

661 Bytes

# Type your text here
P1:2x-3y+z-1=0 P2:4x-5y+3z-3=0

1) demontrer P1 et P2 sont secant.

P1vect normale n1(2,-3,1) et P2
vect normale n2(4,-5,3)

pas proptionelle donc n1 et n2 
ne sont pas coli donc P1 et P2
sont secants.

2)determiner une representation para
de la droite delta intersection
des plans P1 et P2

La droite d est caractérisée 
par le systeme suivant:
P1
p2
on choisit y comme parametre
en passant y=t,ce systeme est 
equivalent a 
x=2t
y=t   avec t reel
t=1-t

3)demontrer que le plan P1 
est perpendiculaire au plan P3
d'equation x+2y+4z-6=0

n3(1,2,4) n1.n3=0
n1 et n3 sont ortho donc ils 
sont perpendi.

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