# Euclidean Space

Euclidean space of dimension *n* is the space of all *n*-tuples of real numbers which generalizes the two-dimensional plane and three-dimensional space.

Euclidean space is a college-level concept that would be first encountered in a linear algebra course.

### Prerequisites

Vector Space: | A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |