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 [math]\displaystyle{ \mathbf{0} }[/math] (which distinguishes it from the number [math]\displaystyle{ 0 }[/math]).

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.

Null Vector Media

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  A null cone where q(x,y,z) = x^2 + y^2 - z^2 .

Related pages

• Zero