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A '''vector space''' is an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real [[number]]s, 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 [[law]]s hold.

A '''vector space''' is an additive [[Group (mathematics)|group]] in which addition is [[commutative]] and with which is associated a [[Field (mathematics)|field]] of scalars, as the field of real [[number]]s, 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 [[law]]s hold.

[[Category:Dictionary]]

[[Category:Algebra]]