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

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### Famous quotes containing the word null:

“A strong person makes the law and custom *null* before his own will.”

—Ralph Waldo Emerson (1803–1882)