Consider two vectors A and B. |A $\times$ B| = |A| |B|. This implies that
A) A and B are perpendicular.
B) A and B are parallel.
C) the angle between A and B is 45°.
D) Hold it! Such a situation is not possible.

Question

Quizplus · Accepted Answer

The magnitude of the cross product |A × B| equals |A||B|sin(θ), where θ is the angle between vectors A and B. If |A × B| = |A||B|, then sin(θ) = 1, which happens only when θ = 90°, meaning A and B are perpendicular.

Consider Two Vectors a and B ×\times× B| = |A| |B|

Consider Two Vectors a and B $\times$ B| = |A| |B|