# Cross product

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*You may be looking for Cartesian product.*

The **cross product** is one way of taking the product of two vectors (the other being the dot product). This method yields a third vector perpendicular to both. Unlike the dot product, it is only defined in (that is, three dimensions). It is commonly used in physics, engineering, vector calculus, and linear algebra. It is defined by the formula

where is the unit vector perpendicular to both and . It can be computed other ways as well: