Like the dot product, the cross product has a geometric interpretation: the vector returned by a cross product operation is always perpendicular to the vectors crossed. The magnitude of the resulting vector cross is given by:
where

is the angle between the two vectors.
Excercise 3-10. Determine the angle between the vectors

and

:
We know from the previous exercise that

Thus, the required magnitudes are

,

, and

. Using these values we find the following for

:
Thus, since the original crossed vectors are already perpendicular to one another, these three vectors are mutually perpendicular. This can be easily verified by dotting any two of the three vectors. All dot products will be

.