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 )
