find the work in moving an object through a displacement ` 2 hati + 3 hatj + 5 hatk ` when the applied force is ` 5 hati - 4 hatj + 2 hatk `

Explanation

To find the work done in moving an object through a given displacement when a force is applied, we can use the formula for work done, which is given by the dot product of the force vector and the displacement vector.

### Step-by-Step Solution:

1. **Identify the vectors**:
- Displacement vector \( \mathbf{d} = 2 \hat{i} + 3 \hat{j} + 5 \hat{k} \)
- Force vector \( \mathbf{F} = 5 \hat{i} - 4 \hat{j} + 2 \hat{k} \)

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