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A parallelogram is constructed on the ve...

A parallelogram is constructed on the vectors `veca=3vecalpha-vecbeta, vecb=vecalpha+3vecbeta`. If `|vecalpha|=|vecbeta|=2` and angle between `vecalpha and vecbeta is pi/3` then the length of a diagonal of the parallelogram is (A) `4sqrt(5)` (B) `4sqrt(3)` (C) 4sqrt(7)` (D) none of these

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