Find the work done if a particle moves from position `r_(1)=(3hati+2hatj-6hatk)` to a positon `vecr_(2)=(14hati+13hatj-9hatk)` under the effect of force `vecF=(4hati+hatj+3hatk)N`.

Explanation

To find the work done when a particle moves under the influence of a force, we can use the formula:

\[ W = \vec{F} \cdot \vec{d} \]

where \( W \) is the work done, \( \vec{F} \) is the force vector, and \( \vec{d} \) is the displacement vector.

### Step 1: Identify the initial and final position vectors
The initial position vector \( \vec{r_1} \) and the final position vector \( \vec{r_2} \) are given as:
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