Vector Space, Topological Space, Mathematics, Math, Linear Algebra.
Identity Element: 0 + A = A + 0 = A (5) Inverses: A + (-A) = (-A) + A = 0 (6) Associativity: If C is also a vector, then (A + B) + C = A + (B + C) Scalar Properties: If A and B are two vectors and x, y are two scalars, then (7) Distributivity: x(A + B) = xA + xB, (x + y)B = xB + yB (8)