# Pseudo-scalar product

skew product, $\mathbf a \lor \mathbf b$, of non-zero vectors $\mathbf a$ and $\mathbf b$

The product of their moduli by the sine of the angle $\phi$ of positive (anti-clockwise) rotation from $\mathbf a$ to $\mathbf b$:

$$\mathbf a \lor \mathbf b = \ | \mathbf a | \cdot | \mathbf b | \cdot \sin \phi .$$

If $\mathbf a = 0$ and (or) $\mathbf b = 0$, then the pseudo-scalar product is assumed to be zero.

See Vector algebra.