Question
Establish that work done is the product of the displacement and the force in the direction of displacement.
✓
Answer
Work done =$\vec{\text{F}}\cdot\vec{\text{d}}=\text{F}(\text{d}\cos\theta) \text{ or}\text{ F}\cos\theta\text{d}\cdot\text{d}\cos\theta$ is the component of displacement in the direction of force and $\text{F}\cos$ is the component of force in the direction of displacement. Therefore work done is the product of the component of force and displacement with the displacement and force in the same direction.
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