# Definition:Zero Vector/Euclidean Space

## Definition

Let $\struct {\R^n, +, \times}_\R$ be a real vector space.

The zero vector in $\struct {\R^n, +, \times}_\R$ is:

$\mathbf 0_{n \times 1} := \begin {bmatrix} 0 \\ 0 \\ \vdots \\ 0 \end {bmatrix}$

where $0 \in \R$.

## Also known as

The zero vector is also sometimes known as the null vector.