Definition:Vector Triple Product

Definition
Let $\mathbf a$, $\mathbf b$ and $\mathbf c$ be vectors in a Cartesian $3$-space:

where $\tuple {\mathbf i, \mathbf j, \mathbf k}$ is the standard ordered basis of $\mathbf V$.

The vector triple product is defined as:
 * $\mathbf a \times \paren {\mathbf b \times \mathbf c}$

where $\times$ denotes the vector cross product.