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kamil9876:
Let and be 10 dimensional vectors. The components of are the first 10 prime numbers(and there are no repeated components). The components of are the first 10 squares (again, no components repeat). Find a vector and such that is a maximum.  8-)

evaporade:
It would be easy if the components are orthogonal.

/0:

kamil9876:
correct

kamil9876:
btw, /0 only provided the answer with no proof. So I still strongly encourage further discussion of this problem :)

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