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When he walks 30m north,
vector obtained is 30j^
Further When he walks 20m east, vector obtained is 20i^
Further he walks 30√2 south west,
which cannot be written either along x-axis or y-axis
so we take components of this movement along x-axis and y-axis
along x-axis = 30√2×cos45°
= 30i^ (towards west)
along Y-axis
= 30√2×sin45°=30j^ (towards south)
Now net movement, 30j^+20i^-30j^-30i^ = -10i^
This shows the displacement of 10m towards west from origin.
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