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
Famous quotes containing the word null:
“A strong person makes the law and custom null before his own will.”
—Ralph Waldo Emerson (1803–1882)