On a horizontal flat ground, a person is standing at a point `A`. At this point, he installs a `5m` long pole vertically. Now , he moves `5m` towards east and then `2m` towards north and reaches at a point `B`. There he installs another `3m` long vertical pole . A bird flies from the top of the first pole to the top of the swecond pole. Find the displacement and magnitude of the displacement of the bird.

Answer

`5hat(i)+2hat(j)-2hat(k); sqrt(33)m`

Explanation

`vec(AP)=5hat(k),vec(AQ)=5hat(i)+2hat(j)+3hat(k)`

Displacement of the bird
`=vec(PQ)=vec(AQ)-vec(AP)=5hat(i)+2hat(j)-2hat(k)`
`PQ=sqrt(5^(2)+2^(2)+2^(2))=sqrt(33)m`