Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection.
A) The planes are neither parallel nor orthogonal, the angle of intersection is .
B) The planes are parallel.
C) The planes are neither parallel nor orthogonal, the angle of intersection is .
D) The planes are orthogonal.

Question

Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection. 
A) The planes are neither parallel nor orthogonal, the angle of intersection is . 
B) The planes are parallel. 
C) The planes are neither parallel nor orthogonal, the angle of intersection is . 
D) The planes are orthogonal.

Quizplus · Accepted Answer

To determine if two planes are orthogonal, we need to check if their normal vectors are perpendicular. The normal vectors of the given planes are [1, 2, -3] and [2, 1, 2]. We can find their dot product: (1)(2) + (2)(1) + (-3)(2) = 0, which means the planes are orthogonal.

Determine Whether the Following Planes Are Parallel, Orthogonal, or Neither