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The ratio of lengths of diagonals of the...

The ratio of lengths of diagonals of the parallelogram constructed on the vectors `vec(a)=3vec(p)-vec(q),vec(b)=vec(p)+3vec(q)` is (given that `|vec(p)|=|vec(q)|=2` and angle between `vec(p)` and `vec(q)` is `pi//3`).

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