**Cross Product**

A way of multiplying two vectors, written **u** × **v**, in which the product is another vector. The cross product of two vectors results in a vector which is orthogonal to both the vectors being multiplied. The magnitude of the cross product of two vectors is found by the formula**|u** × **v|** = **|u|****|v|** sin θ, where θ is the smaller angle between the vectors.

Note: Cross products are not commutative. That is, **u** × **v**≠**v** × **u**. The vectors **u** × **v** and **v** × **u** have the same magnitude but point in opposite directions.

**See also**

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