It is given the complex numbers `z_(1) ` and `z_(2)`, `|z_(1)| =2` and `|z_(2)| =3`. If the included angle of their corresponding vectors is `60^(@)` , then find value of `|(z_(1) +z_(2))/(z_(1) -z_(2))|`

Explanation

To solve the problem, we need to find the value of \( \left| \frac{z_1 + z_2}{z_1 - z_2} \right| \) given that \( |z_1| = 2 \), \( |z_2| = 3 \), and the angle between the vectors represented by \( z_1 \) and \( z_2 \) is \( 60^\circ \).

### Step-by-Step Solution:

1. **Represent the Complex Numbers**:
- Let \( z_1 = |z_1| \cdot e^{i\theta} = 2 \cdot e^{i\theta} \)
- Let \( z_2 = |z_2| \cdot e^{i(\theta + 60^\circ)} = 3 \cdot e^{i(\theta + 60^\circ)} \)

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