A man going east in a car with a velocity of 20 km/hr, a train appears to him to move towards north with a velocity of `20 sqrt(3)` km/hr. What is the actual velocity and direction of motion of train?

Explanation

To solve the problem, we need to find the actual velocity and direction of the train based on the information given about the man's perception of the train's motion.

### Step-by-Step Solution:

1. **Identify the velocities:**
- The velocity of the car (V_c) is 20 km/hr towards the east. We can represent this in vector form as:
\[
V_c = 20 \hat{i} \text{ km/hr}
...