If the dot product of two nonzero vectors A and B is zero then the magnitude of their cross product is?

If the dot product of two nonzero vectors A and B is zero then the magnitude of their cross product is?

Explanation

If A · B = 0, it means the vectors A and B are perpendicular.


The magnitude of the cross product is:


|A × B| = |A||B|sinθ


For perpendicular vectors, θ = 90°, so sin(90°) = 1


⇒ |A × B| = AB × 1 = AB