Calculate the work done when `vec(F)=(-5hat(i)+3hat(j)+2hat(k))N and vec(s)=(3hat(i)-hat(j)+2hat(k))m` acting in same direction.

Explanation

To calculate the work done when the force \(\vec{F} = (-5\hat{i} + 3\hat{j} + 2\hat{k}) \, N\) and the displacement \(\vec{s} = (3\hat{i} - \hat{j} + 2\hat{k}) \, m\) are acting in the same direction, we can follow these steps:

### Step 1: Understand the formula for work done
The work done \(W\) by a force when it acts on an object is given by the formula:
\[ W = \vec{F} \cdot \vec{s} = |\vec{F}| |\vec{s}| \cos \theta \]
where \(\theta\) is the angle between the force and displacement vectors. Since the force and displacement are in the same direction, \(\theta = 0\) degrees, and thus \(\cos(0) = 1\).
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