Question

a person moves 30m north and 20m towards east and finally 30root2 m in south west direction. Displacement of the person from the origin will be ?​

Answer 1

AnswerThe position of person from origin is 10 m West.

Explanation:

Given that,

A person moves 30 m North then 20 m east than 30 root 2 meter southwest.

The movement along north direction, Vector OY =  

The movement along east direction, Vector YX=  

Movement along south west direction, XZ

Vector XZ==30i + 30j

Using triangle vector law,

OX = 20i + 30j

XZ = 30i + 30j

In triangle XZO, OZ is resultant from origin.

OZ = OX-XZ

OZ = 20i + 30j - 30i - 30j

OZ = -10i

Hence, The position of person from origin is 10 m West.

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