if A cross B =B cross A, then the angle between them is

well you know that

AxB = -(BxA)
So, if they are equal, they are zero.

That means the angle is zero or 180. They are parallel.

To determine the angle between two vectors A and B, we need to use the dot product or the cross product. However, since you mentioned that A cross B = B cross A, we can conclude that the vectors A and B are perpendicular to each other. When two vectors are perpendicular, the angle between them is always 90 degrees or π/2 radians. Therefore, the angle between A and B is 90 degrees.