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Two adjacent sides OA and OB of a rectan...

Two adjacent sides OA and OB of a rectangle `OACB` are represented by `vec a and vecb` respectively, where o is origin. If `16|vec axxvecb| = 3 |veca+vecb|^2` and `theta` is the angle between the diagonals OC and AB, then the value(s) of `tan(theta/2)`

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