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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:DictionaryAlgebra]]