A particle moves 4 2 m in South-West direction, 12 m in upward direction and then 1 m in East direction. Find the net displacement.

Question

A particle moves 4 2 ​ m in South-West direction, 12 m in upward direction and then 1 m in East direction. Find the net displacement.

TestHub · Accepted Answer

s 1 ​ = 4 2 ​ m South-West = − 4 i − 4 j ​ ; s 2 ​ = 12 m upward = 12 k , s 3 ​ = 1 m East = 1 i s = s 1 ​ + s 2 ​ + s 3 ​ = − 3 i − 4 j ​ + 12 k , s = 4 2 + 3 2 + 1 2 2 ​ = 13 m

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