In the following 2 problems determine it the statement is true of false.In either case give a justification for answer.

Problem 16 Let UJI' be nonzero subspaces of R3, and let W = U H V be the set of vectors which lie in both U and V. Then W is a subspace of R3. Problem 11' Let U. V be non-zeta subspaces of R3, and let W = U + V be the set of vectors w E 1R3 which can be written as a sum w = u + v with u E U11: 6 V. Then W is a subspace of R3