Calculate the work done if a particle displaces through ` ( 2 hati - hatj + 5 hatk)` meter under a force ` ( 4 hati + 2 hatj - hatk)` newton ( work = ` vecF . vecS`)

Explanation

To calculate the work done by a force on a particle that displaces through a given vector, we use the formula:

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

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

### Step-by-step Solution:

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