Determine whether the planes are parallel,orthogonal,or neither.
x + 2y + z = 6
-2x - 4y - 2z = -10
A)orthogonal
B)parallel
C)neither

Question

Determine whether the planes are parallel,orthogonal,or neither.
 x + 2y + z = 6
-2x - 4y - 2z = -10
A)orthogonal
B)parallel
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 (1, 2, 1), and the normal vector of the second plane is (-2, -4, -2), which is -2 times the first normal vector.

Determine Whether the Planes Are Parallel,orthogonal,or Neither