A particle moves from a point `vecr_1=hati+3hatj` in metre to another point `vecr_2=2hati+4hatj` in metre under the action of the force `vecF =3hati+5hatj` in newton. Find the work done by th force on the particle during the displacement.

Explanation

Displacement ,
`vecs=ver_2-vecr_1=(2hati+4hatj)-(hati+3hatj)=(hati+hatj) m`
Thus, work done,
`W=vecF*vecs=(3hati+5hatj)*(hati+hatj)=3+5=8J`