Find the work done in moving a particle along a vectors `vec(S)=(hat(i)-2hat(j)+3hat(k))m` if applied force is `vec(F)=(2hat(i)-3hat(j)+4hat(k))N`.

Explanation

The workdone in moving particle.
`W=vec(F).vec(s), vec(F)=(2hat(i)-3hat(j)+4hat(k)),vec(s)=(hat(i)=hat(j)+3hat(k))`
Workdone `W = vec(F).vec(s)`
`=(2hat(i)-3hat(j)+4hat(k)).(hat(i)-2hat(j)+3hat(k))`
`= 2+6+12=20`
Workdone (W) = (20) J