## vector space

vector spacenoun

A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars.

## vector-space

Noun

(*plural* vector spaces)

- (mathematics) A type of set of vectors that satisfies a specific group of constraints.
*A vector space is a set of vectors which can be linearly combined.**Each vector space has a basis and dimension.*