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Uniqueness of a Reflector

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Show that if Qx=y, where Q= I- ruu^T (r can be denoted as gamma) , then u must be a multiple of x-y. In other words, prove the uniqueness of reflector Q.

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The uniqueness of a reflector is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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If and
Then

Note that we have some freedom over the choice of u, i.e. ...

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