A particle is displaced from a position (2hati - hatj+hatk) to another position (3hati+2 hatj -2hatk) under the action of the force (2 hati + hatj - hatk). The work done by the force in arbitrary unit is

A particle is displaced from a position (2hati - hatj+hatk) to another

1.	A particle is displaced from a position (2hati - hatj+hatk) to another position (3hati+2 hatj -2hatk) under the action of the force (2 hati + hatj - hatk). The work done by the force in arbitrary unit is
Answer» 8 10 12 16 Solution :Here , `vec(r_1) = 2 HATI - hatj + hatk, vec(r_2) = 3HAT(i) + 2hat(J) - 2hat(k)` `vecF = 2 hati + hatj - hatk` Displacement, `vecr = vec(r_2) - vec(r_1) = (3hati + 2hatj - 2hatk) - (2hati - hatj + hatk)` `= hati + 3hatj - 3hatk` `W = vec(F).vec(r) = (2hati + hatj - hatk).(hati + 3hatj - 3hatk) = 2 + 3 + 3 = 8` UNITS