A man walks 30 mtowards north, then 20mtowardseast and in the last 30

1.	A man walks 30 mtowards north, then 20mtowardseast and in the last 30 V 2 m towards south -west.The displacement from origin is:(1) 10 m towards west(2) 10 m towards east7.(3) 60/2m towards north west(4) 60V 2 m towards east north
Answer» Let north be +j direction and east be +j direction so the displacement are 30j + 20i and at last , for south west the directions are just opposite = -30i-30j giving the magnitude of 30√2 now adding all, we get displacement as = 20i+30j-30i-30j = -10i the answer is 10 m towards west.. ( -ve sign)

A man walks 30 mtowards north, then 20mtowardseast and in the last 30 V 2 m towards south -west.The displacement from origin is:(1) 10 m towards west(2) 10 m towards east7.(3) 60/2m towards north west(4) 60V 2 m towards east north

Answer»

Let north be +j direction and east be +j direction

so the displacement are 30j + 20i

and at last , for south west the directions are just opposite = -30i-30j giving the magnitude of 30√2

now adding all, we get

displacement as = 20i+30j-30i-30j = -10i

the answer is 10 m towards west.. ( -ve sign)