7. Let a and b be nonzero vectors in Rn, and () be the angle between them....
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7. Let a and b be nonzero vectors in Rn, and () be the angle between them.
(a) Use Exercise 4 to prove that a and b are parallel if and only if () = 0 or Jr.
(b) Prove that a and b are orthogonal if and only if () = Jr /2.
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