Question: Let a, b, and c be n-vectors and let k be a real number, (a) Show that a b = b a. (b)

Let a, b, and c be n-vectors and let k be a real number,
(a) Show that a ∙ b = b ∙ a.
(b) Show that (a + b) ∙ c = a ∙ c + b ∙ c.
(c) Show that (ka) ∙ b = a ∙ (kb) = k(a ∙ b).

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