A man swim at an angle `theta=120^(@)` to the direction of water flow with a speed `V_(mw)`=5 km/hr relative to water.If the speed of water `V_(w)`=3 km/hr, Find the speed of the man.

Explanation

To solve the problem of finding the speed of the man swimming in the river, we can break it down into the following steps:

### Step 1: Understand the Given Information
- The speed of the man relative to the water, \( V_{mw} = 5 \) km/hr.
- The speed of the water, \( V_w = 3 \) km/hr.
- The angle \( \theta = 120^\circ \) between the direction of the man's swimming and the direction of the water flow.

### Step 2: Set Up the Vector Components
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