Source : Free On-Line Dictionary of Computing

vector space
     
         An {additive group} on which some ({scalar})
        {field} has an {associative} multiplicative action which
        distributes over the addition of the vector space and respects
        the addition of the (scalar) field: for vectors u, v and
        scalars h, k; h(u+v) = hu + hv; (h+k)u = hu + ku; (hk)u =
        h(ku).
     
        [Simple example?]
     
        (1996-09-30)