Definition:Zero Vector/Euclidean Space
< Definition:Zero Vector(Redirected from Definition:Zero Vector in Euclidean Space)
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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.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): zero vector (null vector): 1.