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Answer to How do you prove that every isometry f preserves norms of a vector? by Alex Eustis https://www.quora.com/How-do-you-prove-that-every-isometry-f-preserves-norms-of-a-vector/answer/Alex-Eustis?ch=18&oid=1477743635124311&share=60070678&srid=hIX1P&target_type=answer

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