Sep 21, 2017 term paper 2

LET U AND V BE ORTHOGONAL UNIT VECTORS IN CN . SUPPOSE THAT W ∈ CN IS ANOTHER UNIT VECTOR NOT…

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Let u and v be orthogonal unit vectors in CN . Suppose that w ∈ CN is another unit vector not orthogonal to u. Then show that there is a complex number α, with |α| = 1, such that  Remark: The exercise shows that, direction-wise, orthogonal vectors are further from each other than nonorthogonal vectors.



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