Null vector

A null vector is a special vector, which is the identity element for the addition of vectors, in a given vector space. As an example, the null vector of n-dimensional coordinate space is a vector whose components are all 0. It is often denoted by the symbol ${\displaystyle \mathbf {0} }$ (which distinguishes it from the number ${\displaystyle 0}$).[1][2]

Null vectors are used to define key concepts of linear algebra, such as linear independence, basis and kernel. They are used to solve linear equations as well.