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Question: prove that if x and y are nonzero parallel vectors...

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Prove that if x and y are nonzero parallel vectors (that is, y = cx for some c 0), then x-y = ± Ixl ilyl (that is, cos θ = ±1, where θ is the angle between x and y. CTogether with Theorem 1.10, this establishes that the algebraic and geometric conditions for parallel vectors are equivalent.)

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