Zero vector

The zero vector, often referred to as the null vector, in Rⁿ is defined as a vector where all of its n components are zero.

This vector has a magnitude of zero and is directionless.

Example

A zero vector in R3 is

In R³ the zero vector is represented as:

$$ 0 = \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix} $$