It is given that `|vecA_(1)|=2,|vecA_(2)|=3 and |vecA_(1)+vecA_(2)|=3`
Find the value of `(vecA_(1)+vecA_(2)).(2vecA_(1)-3vecA_(2))`

Explanation

To solve the problem step by step, we need to find the value of \((\vec{A_1} + \vec{A_2}) \cdot (2\vec{A_1} - 3\vec{A_2})\) given the magnitudes of the vectors and their resultant.

### Step 1: Understand the given information
We have:
- \(|\vec{A_1}| = 2\)
- \(|\vec{A_2}| = 3\)
- \(|\vec{A_1} + \vec{A_2}| = 3\)

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