Three constant forces `vecF_1=2hati-3hatj+2hatk`, `vecF_2=hati+hatj-hatk`, and `vecF_3=3hati+hatj-2hatk` in newtons displace a particle from `(1, -1, 2)` to `(-1, -1, 3)` and then to `(2, 2, 0)` (displacement being measured in meters). Find the total work done by the forces.

Explanation

To find the total work done by the forces on the particle as it moves from one point to another, we can follow these steps:

### Step 1: Identify the Forces
We have three forces acting on the particle:
- \(\vec{F_1} = 2\hat{i} - 3\hat{j} + 2\hat{k}\)
- \(\vec{F_2} = \hat{i} + \hat{j} - \hat{k}\)
- \(\vec{F_3} = 3\hat{i} + \hat{j} - 2\hat{k}\)

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