A particle has its position moved from `vec(r_(1))=3hati+4hatj` to `vec(r_(2))=hati+2hatj`. Calculate the displacment vector `(Delta vecr)` and draw the `vec(r_(1)), vec(r_(2)) and Delta vecr` vector in a two dimensional Cartesian coordinate system.

Explanation

The position vector `P_(1)=vec(r_(1))=3hati+4hatj`
The position vector `P_(2)=vec(r_(2))=hati+2hatj`
The displacement vector `Deltavecr=?`
`Delta vecr=vec(r_(2))-vec(r_(1))`
`=(hati+2hatj)-(3hati+4hatj)`
`=(1-3)hati+(2-4)hatj`
`=-2hati-2hatj`
`Delta vecr=-2(hati+hatj)`