0 is a point on the ground chosen as origin. A body first suffers a displacement of `10sqrt(2)m` North-East, next 10 m North and finally North-West. How far it is from the origin ?

Explanation

Given `OB = 10sqrt(2)m, BC = 10m`.
`OB = sqrt(OA^(2) + AB^(2)) (because OA = 10hat(i), AB = 10 hat(j))`
`OB = sqrt(10^(2) + 10^(2))`
`= 10sqrt(2)m`
similarly EC `= 10hat(i), ED = 10 vec(j)`
`therefore CD = sqrt(10^(2) + 10^(2))`
`CD = 10 sqrt(2)m`.
`therefore` Total displacement `(OD) = |OF| + |FE| + |ED|`
`OD = 10 + 10 + 10`
`OD = 30 m`