A particle moves from position `3hat(i)+2hat(j)-6hat(k)` to `14hat(i)+13hat(j)+9hat(k)` due to a uniform force of `4hat(i)+hat(j)+3hat(k)N`. If the displacement is in meters, then find the work done by the force.

Explanation

To find the work done by the force on the particle, we can follow these steps:

### Step 1: Determine the initial and final position vectors
The initial position vector \( \mathbf{r_i} \) is given as:
\[ \mathbf{r_i} = 3\hat{i} + 2\hat{j} - 6\hat{k} \]
The final position vector \( \mathbf{r_f} \) is given as:
...