5. Let V and W be subspaces of R" such that VOW = [0] and dim V + dim W = n. Show the following: (2) If v E V, w E W, and v + w =0, then v = w = 0. (iz) If B1 is a basis for V and B2 is a basis for W, then B1 U B2 is a basis for R. (izz) If x E R", then there is a unique pair of vectors v E V and w E W such that x =vtw. [2, 3, 3;]