If $\vec{r}_1 = 2\hat{i} + 4\hat{j} - 5\hat{k}$ and $\vec{r}_2 = \hat{i} + 2\hat{j} + 3\hat{k}$,find the unit vector parallel to the resultant vector of $\vec{r}_1$ and $\vec{r}_2$.
- A$3\hat{i} + 6\hat{j} - 2\hat{k}$
- B$\hat{i} + \hat{j} - \hat{k}$
- C$\frac{3\hat{i} + 6\hat{j} - 2\hat{k}}{7}$
- D$\frac{\hat{i} + \hat{j} - \hat{k}}{7}$
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