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A person walks in such a way that he covers equal distance in each step. The person takes 2 steps forward towards east, then takes a right turn and walks 4 steps towards south, then takes a right turn and walks 6 steps towards west and then takes a right turn and walks further. The direction of his final position after a total of 20 steps walk with respect to his initial position is

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$60^{\circ}$ West of South

$60^{\circ}$ South of West

North-West

South-East

answer is A.

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Detailed Solution

$\vec{s} = 2 \hat{i} - 4 \hat{j} - 6 \hat{i} + 8 \hat{j} = - 4 \hat{i} + 4 \hat{j}$

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