The position vectors of $A$ and $B$ are $\vec{a} = \hat{i} - \hat{j} + 2\hat{k}$ and $\vec{b} = 3\hat{i} - \hat{j} + 3\hat{k}$. The position vector of the midpoint of the line segment $AB$ is:
- A$\frac{1}{2}\hat{i} - \frac{1}{2}\hat{j} + \hat{k}$
- B$2\hat{i} - \hat{j} + \frac{5}{2}\hat{k}$
- C$\frac{3}{2}\hat{i} - \frac{1}{2}\hat{j} + \frac{3}{2}\hat{k}$
- DNone of these
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