Find the equation of the line which passes through the point $(1, 2, 3)$ and is parallel to the vector $3 \hat{i} + 2 \hat{j} - 2 \hat{k}$.
- A$\vec{r} = \hat{i} + 2 \hat{j} + 3 \hat{k} + \lambda(3 \hat{i} + 2 \hat{j} - 2 \hat{k})$
- B$\vec{r} = 3 \hat{i} + 2 \hat{j} - 2 \hat{k} + \lambda(\hat{i} + 2 \hat{j} + 3 \hat{k})$
- C$\vec{r} = \hat{i} + 2 \hat{j} + 3 \hat{k} + \lambda(\hat{i} + 2 \hat{j} - 2 \hat{k})$
- D$\vec{r} = 3 \hat{i} + 2 \hat{j} + 3 \hat{k} + \lambda(\hat{i} + 2 \hat{j} - 2 \hat{k})$
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