Back to home from a misdirected path: A boy goes 3 km South from school, then 2 km East, then 3 km North, then 1 km West to reach home. Home is in which direction from the school?

Introduction / Context:Compute net displacement from the school to the home after the loop-like path.

Given Data / Assumptions:

• South 3 then North 3 ⇒ vertical cancels to 0.
• East 2 then West 1 ⇒ net East 1.

Concept / Approach:Combine orthogonal components to get resultant direction.

Step-by-Step Solution:

Verification / Alternative check:Only an uncompensated 1 km East remains.

Why Other Options Are Wrong:They require residual North/South/West components which do not exist.

Common Pitfalls:Assuming last West step overcompensates the earlier East move.

Final Answer:East