A force of magnitude 26N along direction of a vector 5i+12j displaces a body of mass 2 kg from a point (2,3,4) to a point (4,3,2). What is the work performed by the force?

Work is equal to the dot product of the force vector and the displacement vector:


W = \vec F \cdot \vec d


So first determine the displacement vector, then calculate the dot product of it with the force vector.