# Mixed product

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 15A72 [MSN][ZBL]

*of vectors $\mathbf{a},\mathbf{b},\mathbf{c}$*

The inner product of the vector $\mathbf{a}$ by the vector product of $\mathbf{b}$ and $\mathbf{c}$: $$ [\mathbf{a},\mathbf{b},\mathbf{c}] = \mathbf{a} \times (\mathbf{b} \cdot \mathbf{c}) $$

See Vector algebra.

#### Comments

The phrase **scalar triple product** also occurs instead of mixed product.

**How to Cite This Entry:**

Mixed product.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Mixed_product&oldid=42732