Determine whether the planes are parallel,orthogonal,or neither.
6x + y - z = 2
-18x - 3y + 3z = -4
A)parallel
B)orthogonal
C)neither

Question

Determine whether the planes are parallel,orthogonal,or neither. 
6x + y - z = 2
-18x - 3y + 3z = -4
A)parallel
B)orthogonal
C)neither

Quizplus · Accepted Answer

The planes are parallel because their normal vectors are scalar multiples of each other. The normal vector of the first plane is (6, 1, -1) and the normal vector of the second plane is (-18, -3, 3), which is -3 times the first normal vector.

Determine Whether the Planes Are Parallel,orthogonal,or Neither