An object is displaced from point `A(2m,3m,4m)` to a point `B(1 m,2 m,3 m)` under a constant force ` F=(2hati + 3hatj + 4hatk)N`. Find the work done by this force in this process.

Explanation

`W=int_(vecr_i)^(vecr_f)vecF.vecdr`
`=int_((2m, 3m, 4m))^((1m, 2m, 3m))(2hati+3hatj+4hatk)*(dxhati+dyhatj+dzhatk)`
`=[2x+3y+4z]_(2m, 3m, 4m)^(1m, 2m, 3m)=-9J`