In a harbour, wind is blowing at the speed of ` 72 km //h` and the flag on the mast of a boat anchored in the harbiyr flutters along the `N-E` direction. If the boat starts moving at a speed of ` 51 km// h` to the North, what is the direction of flag on the mast of the bat ?

Explanation

To solve the problem, we need to determine the direction of the flag on the mast of the boat when it starts moving north while the wind is blowing from the northeast.

### Step-by-Step Solution:

1. **Identify the Wind's Velocity**:
The wind is blowing at a speed of 72 km/h in the northeast direction. In vector form, northeast can be represented as:
\[
\text{Wind Velocity} = 72 \, \text{km/h} \left( \frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j} \right) = \frac{72}{\sqrt{2}} \hat{i} + \frac{72}{\sqrt{2}} \hat{j}
...