Definition:Scalar 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 $\mathbf V$.

Also see

 * Equivalence of Definitions of Scalar Triple Product