# Cartesian Product

Given two sets and , the *Cartesian product*, also known as the *cross product* or even just *product*, is written as , which is read as “A cross B.” It is the set of all ordered pairs where and .

When a set is crossed with itself one or more times it is written . For example, is usually written instead of .

Euclidean three-space, , is a very common Cartesian product.

« Back to Glossary Index