Consider R3 with the inner product defined by hu, vi = 3u1v1 + 2u2v2 + u3v3, for u, v ∈ R3. a.) Show that the basis B is an orthornormal set with respect to the given inner product.  b.) By using the inner product and a.), express (1, 11/6, 5/3) as a linear combination of the vectors in B. B = {( (√3)/3, 0, 0), (0, 2/3, 1/3), (0, -(√2)/6, (2√2)/3)}

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