Houjun Liu

cross product

constituents

additional information

lack of inverse of cross product

The cross product doesn’t have an inverse

geometric interpretation of cross product

\begin{equation} a \times b = |\vec{a}| |\vec{b}| \sin \theta n \end{equation}

where, \(n\) is the unit vector in some direction.

The length of the resulting vector in the cross product is the area of the parallelogram formed by the two vectors.