A particale acted upon by constant forces ` 3hati+2hatj+2hatk ` and ` 2hatk-hatj-hatk ` is displaced from the piont (1,3,-1) to the point (4,-1, ` lambda ` ). If the wrok done by the forces is 16 units , find the value of ` lambda `

Explanation

`Here vecF=vecF_(1)+vecF_(2)=(4hati+hatj-3hatk)+(3hati+hatj-hatk)=7hati+2hatj-4hatk`
`and vecd=vecd_(2)-vecd_(1)(5hati+4hatj+hatk)-(hati+2hatj+3hatk)=4hati+2hatj-2hatk`
Work done = `vecF.vecd`
`=(7hati+2hatj-4hatk).(4hati+2hatj-2hatk)`
= (7) (4) + (2) (2) + (-4) (-2)
= 28 + 4 +8 = 40 units.