Calculate the work done to displace the particle from
(1,2) to (4,5) .if `vecF=4hati+3hatj`

Explanation

`dw=vecF.dvecr(dvecr=dxhati+dyhatj+dzhatk)`
`dw=(4hati+3hatj).(dxhati+dyhatj+dzhatk)`
`impliesdw=4dx+3dy`
`int_0^wdw=int_1^(4)4dx+int_2^(5)3dy`
`impliesw=[4x]_1^4+[3y]_2^5`
`w=(16-4)+(15-6)`
`impliesw=12+9=21` Joule
II format : (When F is given as a function of x, y, z)
If `vecF=F_(x)hati+F_yhatj+F_zhatk`
then
`dw=(F_xhati+F_yhatj+Fzhatk).(dxhati+dyhatj+dzhatk)`
`impliesdw=F_xdx+F_ydy+Fzdz`