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Linear Algebra - Vectors that Bisect Angles

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20.

a. Let x and y be vectors with |x| - |y|. Prove that the vector x + y bisects between x and y.
b. More generally, if x and y are arbitrary nonzero vectors, let a = ||x|| and b = |y|. Prove that the vector bx + ay bisects the angle between x and y

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