A plane is travlling eastward at a speed of ` 400 km h^)-1)` . Wind is blowing southward at a speed of `80 km h^(-1)` What is the direction of the place relative to the ground ?

Explanation

To find the direction of the plane relative to the ground, we can use vector addition to combine the velocity of the plane and the velocity of the wind. Here’s a step-by-step solution:

### Step 1: Identify the velocities
- The velocity of the plane (\( V_p \)) is \( 400 \, \text{km/h} \) eastward.
- The velocity of the wind (\( V_w \)) is \( 80 \, \text{km/h} \) southward.

### Step 2: Represent the velocities as vectors
- We can represent the plane's velocity as a vector pointing in the positive x-direction (east).
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