What will be work done by a force `vec(F) = 2hat(i) +2hat(j) - 4hat(k)` when it moves a body from the point (2,0,-3) to (1,1,-5)

Explanation

To find the work done by the force vector \(\vec{F} = 2\hat{i} + 2\hat{j} - 4\hat{k}\) when it moves a body from the point (2,0,-3) to (1,1,-5), we can follow these steps:

### Step 1: Determine the Displacement Vector
The displacement vector \(\vec{d}\) is found by subtracting the initial position vector from the final position vector.

1. **Initial Position Vector**: \(\vec{r_i} = 2\hat{i} + 0\hat{j} - 3\hat{k}\)
2. **Final Position Vector**: \(\vec{r_f} = 1\hat{i} + 1\hat{j} - 5\hat{k}\)

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