Properties of+and· Proof. (1)Add -w to each side. (2)Add -u to each side. (3)This one is tricky! Let 0 be the zero element in R(!!not the zero element in V).Then 0+0=0 (0+0)u=0u 0u+0u=0u. Subtract the vector 0.u from each side to get 0u=0. 4口+++左+4生+定QCProperties of + and · Proof. (1) Add −w to each side. (2) Add −u to each side. (3) This one is tricky! Let 0 be the zero element in R (!! not the zero element in V ). Then 0 + 0 = 0 (0 + 0)·u = 0·u 0·u + 0·u = 0·u. Subtract the vector 0·u from each side to get 0·u = 0