coordoneprojorthodunpointusrunplan.py

Created by acrozak02

Created on March 23, 2021

635 Bytes

# Type your text here
determiner les coordonnées du projeté
orthogonal d'un point 
sur un plan donné par une equation
carté.

A(10,8,5) P:2x+3y-z+1=0
determiner les coordonnes du projeté 
ortho H du point A sur le plan P

Le point H est l'intersection de P
avec sa perpendiculaire d passant
par A comme n(2,3,-1) est un vect
normale a P cest donc un vect dire
a d. 
une representation para de d est:
  x=8+2t
  y=10+3t
  z=5-t   avec t reel

Comme H apartient P et d , ses
coordonnées (x,y,z) verifie le sys
teme:
  2x+3y-z+1=0
  x=8+2t
  y=10+3t
  z=5-t avec t reel
.... 
donc H(2,1,8)

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