Driving with two left turns on an L-shaped route: A man drives 6 km West, turns left and drives 3 km (South), then turns left and drives 3 km (East). What is his final direction from the start?

Introduction / Context:Compute net displacement components to infer the bearing from the origin.

Given Data / Assumptions:

• West 6 ⇒ x = −6.
• Left from West is South 3 ⇒ y = −3.
• Left from South is East 3 ⇒ x increases by 3 (to −3).

Concept / Approach:Net vector from origin = (−3, −3) which lies diagonally to the South-West.

Step-by-Step Solution:

Verification / Alternative check:Equal magnitude in West and South components implies a 45° SW direction.

Why Other Options Are Wrong:They put the endpoint in different quadrants.

Common Pitfalls:Answering the facing after the last turn (East) instead of the direction from start (SW).

Final Answer:South-West