On applying a force `(vec(F) = 3hat(i) - 6hat(j) + 4hat(k))` N on a body , the body is dispalced through along negative direction of X - axis is 2 m . Calculate the work done by this force .

Explanation

To solve the problem of calculating the work done by the force on the body, we will follow these steps:

### Step 1: Identify the Force and Displacement Vectors
The force vector is given as:
\[ \vec{F} = 3\hat{i} - 6\hat{j} + 4\hat{k} \text{ N} \]
The displacement vector, since the body is displaced 2 m in the negative direction of the x-axis, is:
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