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Properties of the dot product

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Reference no: EM13965118

How could you use the properties of the dot product to prove the following identities: (where u and v denote vectors in Rn)

a) ||u + v||^2 + ||u-v||^2 = 2(||u||^2 + ||v||^2)

b) ||u + v||^2 - ||u-v||^2 = 4u dot v

Note:

dot = dot product

^ = power

||= distance

Reference no: EM13965118

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