Explanation: 
Another Explanation (5): ```html
Work done by a force
Given, Force \( \vec{F} = 4\hat{i} + 3\hat{j} + \hat{k} \) and displacement \( \vec{S} = \hat{i} + 2\hat{j} + 5\hat{k} \).
Work done, \( W = \vec{F} \cdot \vec{S} \)
\( W = (4\hat{i} + 3\hat{j} + \hat{k}) \cdot (\hat{i} + 2\hat{j} + 5\hat{k}) \)
\( W = (4 \times 1) + (3 \times 2) + (1 \times 5) \)
\( W = 4 + 6 + 5 \)
\( W = 15 \)
Therefore, the amount of work done is 15 units. 🎉
```
