1. Let X be an inner product space, and 3:, 3; he two nonzero vectors in X. Prove that {a} 3,3; are orthogonal if and only if \"a: + cry" 2 \"a: my" for all o: E IRE. {h} 3:, y are orthogonal if and onlyr if Ila: + (1le E ":11" for all or E R