A point P has coordinates (2, 3, 5). If it is rotated by 90 degrees counter-clockwise about the z-axis (looking down from +z toward origin), what are its new coordinates P'?
Options:
(A) (-3, 2, 5)
(B) (3, -2, 5)
(C) (-2, -3, 5)
(D) (2, 3, -5)
Answer Key:
A
Step-by-Step Solution & Explanation
A 90-degree CCW rotation about the z-axis maps (x, y, z) to (-y, x, z). Thus (2, 3, 5) becomes (-3, 2, 5).