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

Given: `r_(1) = 3 i + 4j`
`r_(2)=i +2j`
`Delta r = ?`
Formula: `Delta r = r_(2) - r_(1)`
`= (i+2j) - (3i+4j)`
`= (1 - 3) hat(i) + (2-4) hat(j)`
`= - 2hat(i) - 2hat(j)`