In order to do work, the force vector must be

a. in a different direction than the displacement vector.

b. in the same direction as the displacement vector and the motion.

c. in a different direction than the acceleration vector.

d. in the same direction as the acceleration vector.

As we know that total work done by a force is given by

so it is product of force and displacement along same direction

as we can write it as

so it must be the product of force and displacement in same directions so correct answer must be

B. in the same direction as the displacement vector and the motion.

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