Question: a) Using Postulate 1 in Section 1.2 and Definition 8.1, prove Theorem 8.2. b) Prove Theorem 8.9, parts i) through iii) and vi). c) Prove

a) Using Postulate 1 in Section 1.2 and Definition 8.1, prove Theorem 8.2.
b) Prove Theorem 8.9, parts i) through iii) and vi).
c) Prove that if x, y ∈ R3, then ||x × y|| < ||x|| ||y||.

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