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Given |vec(A)(1)|=2,|vec(A)(2)|=3 and |v...

Given `|vec(A)_(1)|=2,|vec(A)_(2)|=3` and `|vec(A)_(1)+vec(A)_(2)|=3`. Find the value of `(vec(A)_(1)+2vec(A)_(2)).(3vec(A)_(1)-4vec(A)_(2))`.

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