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let v be an inner product space with an inner product(u,v) prove that ||u+v||<=||u||+||v||, ||w||^2=(w,w) ,...

let v be an inner product space with an inner product(u,v) prove that ||u+v||<=||u||+||v||, ||w||^2=(w,w) , for all u,v load to V. hint : you may use the Cauchy-Schwars inquality: |{u,v}|,= ||u||*||v||.

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