A girl walks 4 km towards west, then she walks 3 km in a direction `30^@`east of north and stops. Determine the girls displacement from her initial point of departure.

Explanation

To determine the girl's displacement from her initial point of departure, we can break down her movements into vector components and then calculate the resultant vector. Here’s a step-by-step solution:

### Step 1: Define the Coordinate System
We will define a coordinate system where:
- East is represented by the positive x-axis (i cap).
- North is represented by the positive y-axis (j cap).
- West is represented by the negative x-axis (-i cap).
- South is represented by the negative y-axis (-j cap).
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