If `|veca|=3, |vecb|=4` and the angle between `veca and vecb is 120^(@)` . Then find the value of `|4 veca + 3vecb|`

Explanation

To solve the problem, we need to find the magnitude of the vector \( |4\vec{a} + 3\vec{b}| \) given that \( |\vec{a}| = 3 \), \( |\vec{b}| = 4 \), and the angle between \( \vec{a} \) and \( \vec{b} \) is \( 120^\circ \).

### Step-by-Step Solution:

1. **Write down the given information**:
- \( |\vec{a}| = 3 \)
- \( |\vec{b}| = 4 \)
- Angle \( \theta = 120^\circ \)
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