Definition:Scalar Triple Product/Definition 1

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.

The scalar triple product of $\mathbf a$, $\mathbf b$ and $\mathbf c$ is defined and denoted as:


 * $\sqbrk {\mathbf a, \mathbf b, \mathbf c} := \mathbf a \cdot \paren {\mathbf b \times \mathbf c}$

where:
 * $\cdot$ denotes dot product
 * $\times$ denotes vector cross product.

Also see

 * Equivalence of Definitions of Scalar Triple Product