Constant forces `P_1= hat i+ hat j+ hat k ,P_2= - hat i+2 hat j- hat ka n dP_3= - hat j- hat k` act on a particle at a point `Adot` Determine the work done when particle is displaced from position `A(4 hat i-3 hat j-2 hat k)` to `B(6 hat i+ hat j-3 hat k)dot`

Explanation

Resultant force
`vecF = vecP_(1)+vecP_(2)+vecP_(3)=2hatj- hatk`
And displacement = `vecAB`
= P.V. of B-P.V. of A
`= (6hati + hatj - 3hatk) - (4hati - 3hatj - 2hatk) `
`= 2hati + 4hatj -hatk`
(ii) work done = `vecF. vecAB `
=` (2hatj-hatk).(2hati=4hatj - hatk)`
= 9 unit