) A subspace V of R 3 such that dim V ⊥ = 1. (2) A subspace V of R 3 such that dim V ⊥ = 2. (3) A subspace V of R 4 such that dim V = 2 and dim V ⊥ = 2. 2. True or false? All vectors below are in R n for some n. If your answer is "True", explain why. If your answer is "False", give a counterexample. (1) If W is a subspace of R n , then W and W⊥ have no vectors in common.