A particle is moved successively from P(1,2,3) to Q(7,−1,5) and then to R(3,4,−2) by the same constant force F=10i−4j+6k N.
a. (i) Determine the displacement vector PQ in component form.
b. (ii) Calculate the work done by the force during the motion from P to Q.
c. (iii) Find the displacement vector QR and the corresponding work done from Q to R.
d. (iv) Obtain the total work done in moving the particle from P to R by adding your results from parts (ii) and (iii).
e. (v) Verify your answer to part (iv) by computing the work done if the particle were moved directly from P to R under the same force.