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CGP EDU Academic Team
Published on: September 12, 2026
A person moves 30 m north and then 20 m towards east and finally \(30\sqrt{2}\) m in south-west direction. The displacement of the person from the origin will be
Text Solution
Verified by ExpertsThe correct answer is:
C
From figure, \vec{OA} = 0 \hat{i} + 30 \hat{j} , \vec{AB} = 20 \hat{i} + 0 \hat{j}
\(\vec{B} \cdot \vec{C} = -30 \sqrt{2} \cos 45^\circ ;\) \(-30\sqrt{2} \sin 45^{\circ} j\) = -0.30j - 30j
\ \ Net displacement, \vec{OC} = \vec{OA} + \vec{AB} + \vec{BC} \(= -10\mathbf{i} + 0\mathbf{j}\)
OC' = 10 m.
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