xuqianxuecandy1192 xuqianxuecandy1192
  • 03-09-2020
  • Mathematics
contestada

Find an equation of the plane.
The plane through the point (1, -1, - 1 ) and parallel to the plane 5x - y - z = 6

Respuesta :

nuhulawal20
nuhulawal20 nuhulawal20
  • 07-09-2020

Answer: equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Step-by-step explanation:

Given data;

5x - y - z = 6

therefore vector of plane is n° = ( 5, -1, -1)

so equation will be

n°(x-x₀, y-y₀, z-z₀) = 0

( 5, -1, -1) (x-x₀, y-y₀, z-z₀) = 0

5(x- (1)) -1(y - (-1)) -1(z - (-1)) = 0

5x - 5 - y - 1 - z - 1 = 0

5x - y - z - 7 = 0

Therefore equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

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