A body constrained to move along the Y-axis of a co-ordinate system is subjected to a constant force `vecF` given unit `vecF=-hati+6hatj+2 hatk` newton where `hati, hatj and hatk` represent unit vector along X-, Y- and Z-axis of the system , respectively . Calculate the work done by the force in displacement the body through a distance of 4 m along the Y-axis .

Explanation

To solve the problem, we need to calculate the work done by the force \(\vec{F}\) on the body as it moves along the Y-axis through a distance of 4 meters.

### Step-by-Step Solution:

1. **Identify the Force Vector**:
The force vector is given as:
\[
\vec{F} = -\hat{i} + 6\hat{j} + 2\hat{k} \text{ N}
...