A force `(3hati+2hatj)` N displaces an object through a distance `(2hati-3hatj)` m. The work done is :

Explanation

To find the work done by a force when an object is displaced, 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 Force and Displacement Vectors:**
- The force vector \( \mathbf{F} \) is given as \( \mathbf{F} = 3\hat{i} + 2\hat{j} \) N.
- The displacement vector \( \mathbf{s} \) is given as \( \mathbf{s} = 2\hat{i} - 3\hat{j} \) m.

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