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(8 points) Let x, y R be given. (a) If ||||||y|| = = 1 and r y = 1, show that r = y.

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(8 points) Let x, y R" be given. (a) If ||||||y|| = = 1 and r y = 1, show that r = y. (b) If ||||1 and ||y|| 1, prove that 1-||||21-||y|| 1-|xy|.

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