Simplifying this matrix equation?

Question

How can I simplify the following matrix equation?

$$\frac{||A \times B||_{II}}{||A||_{II}}$$

where A, B are 3x1 matrices, x is a cross product.

EDIT: I'm askingg about the cross product in 3D space and using the usual Euclidean norm.

the equation

Answer 1

Your notation is odd

$$ \frac{\| A \times B \|}{\| A\|} = \frac{\|A\|\|B\| \sin(\theta)}{\|A\| } = \|B\| \sin(\theta)$$