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Q44Section II (Mathematics)44 of 84

Parallelogram law: ∥u+v∥2+∥u−v∥2=2∥u∥2+2∥v∥2\|u+v\|^2+\|u-v\|^2=2\|u\|^2+2\|v\|^2

Let uu and vv be vectors in an inner product space such that ∥u+v∥=8\|u+v\|=8, ∥u−v∥=6\|u-v\|=6 and ∥u∥=7\|u\|=7. Then ∥v∥=\|v\|=

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