Cite
 

Meaning of vector space

vec'tor space"

Pronunciation: [key]
— Math. Math.
  1. an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two scalars times a vector is associative, one times a vector is the vector, and two distributive laws hold. Also called
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.