# A person moves 30 m north and then 20 m east and finally 30√2 m south-west. What is the displacement from the original position?

First we define directions:

West to East is x-axis

South to North is y-axis

Now, we draw the path of a person

Now,

(Because x and y both are negative)

Total Displacement =

=

=

Total displacement is 10 m towards the west

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