Question

A boy walks 4 km south, then 3 km east, and 2 km north. In which direction is he from the starting point?

• A. Northeast.
• B. Southeast.
• C. Northwest.
• D. Southwest.

Hint:

Use vector addition to find net displacement and direction in navigation problems.

Answer 1

The Correct Option is B

Step 1: Calculate net displacement in north-south direction.
He walks 4 km south and 2 km north: \[ 4 - 2 = 2 \text{ km south} \]
Step 2: Calculate net displacement in east-west direction.
He walks 3 km east: \[ 3 \text{ km east} \]

Step 3: Determine direction from start point.
From the starting point, he is 2 km south and 3 km east, which is the southeast direction.