A person facing the East travels 4 km straight and then turns right and travels 3 km, then further turns left and travels 2 km and finally turns left and travels 3 km. The minimum distance between the final point and the initial point, and the direction in which the person is facing at the final point are, respectively
A.12 km, East
B.6 km, East✓ Correct
C.8 km, North
D.6 km, North
Explanation
Start facing East. Move 4 km East — now at (4, 0) facing East. Turn right (now facing South), move 3 km — now at (4, -3) facing South. Turn left (now facing East), move 2 km — now at (6, -3) facing East. Turn left (now facing North), move 3 km — now at (6, 0) facing North. Initial point was (0, 0). Distance from (0,0) to (6,0) = 6 km. Final direction faced = North. Hence 6 km, North.
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