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
Detailed Explanation:
Starting at origin (0,0) facing East: moves 4 km East → (4,0), turns right (South) → moves 3 km South → (4,−3), turns left (East) → moves 2 km East → (6,−3), turns left (North) → moves 3 km North → (6,0).
Minimum distance from origin = √[(6−0)² + (0−0)²] = 6 km. Final direction: North.
Therefore, the answer is 6 km and North, making Option 4 the correct answer.
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