Null Vector

In linear algebra, the null vector or zero vector is the vector (0, 0, …, 0) in Euclidean space, all of whose components are zero. It is usually written with an arrow head above or below it : or 0 or simply 0. A zero vector has arbitrary direction, but is orthogonal (i.e. perpendicular, normal) to all other vectors with the same number of components.

In a vector space with an inner product for which the requirement of positive-definiteness has been dropped, a vector that has zero length is referred to as a null vector. The term zero vector is then still reserved for the additive identity of the vector space.

Read more about Null Vector:  Linear Algebra, Seminormed Vector Spaces

Other articles related to "null vector, vectors, null vectors, vector, null":

Null Vector - Seminormed Vector Spaces - Examples
... The light-like vectors of Minkowski space are null vectors ... general, the coordinate representation of a null vector in Minkowski space contains non-zero values ... In the Verma module of a Lie algebra there are null vectors ...
Null Vector (disambiguation)
... Null vector can refer to Null vector (vector space) A causal structure in Minkowski space ...
Moore–Penrose Pseudoinverse - Special Cases - Vectors
... The pseudoinverse of the null (all zero) vector is the transposed null vector ... The pseudoinverse of a non-null vector is the conjugate transposed vector divided by its squared magnitude ...

Famous quotes containing the word null:

    A strong person makes the law and custom null before his own will.
    Ralph Waldo Emerson (1803–1882)