Prove: If u, v, and w are vectors in Rn and k is any scalar, then (a)

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Prove: If u, v, and w are vectors in Rn and k is any scalar, then
(a) u ∙ (kv) = k(u ∙ v)
(b) u ∙ (v + w) = u ∙ v + u ∙ w
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