Let (u, v) be the Euclidean inner product on R2, and let u = (3, - 2),

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Let (u, v) be the Euclidean inner product on R2, and let u = (3, - 2), v = (4, 5), w = (-1, 6), and k = -4. Verify that
(a) (u, v + w) = (u, v) + {u, w)
(b) (ku, v) = k{u, v) = {u, kv)
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