Definition:Zero Vector/Euclidean Space

Definition
Let $\left({\R^n, +, \times}\right)_\R$ be a real vector space.

The zero vector in $\left({\R^n, +, \times}\right)_\R$ is:


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

where $0 \in \R$.