A bird is fying due east with a velocity of `4 m s^-1`. The starts to blow with a velocity of `3 ms^-1` due north. What is the magnituide of relative velocity of bird w.r.t. wind ? Find out its direction also.

Explanation

To solve the problem of finding the magnitude and direction of the relative velocity of a bird with respect to the wind, we can follow these steps:

### Step 1: Understand the velocities involved
- The velocity of the bird (\( \vec{V}_{B} \)) is \( 4 \, \text{m/s} \) due east. We can represent this as:
\[ \vec{V}_{B} = 4 \hat{i} \, \text{m/s} \]
- The velocity of the wind (\( \vec{V}_{W} \)) is \( 3 \, \text{m/s} \) due north. We can represent this as:
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