Appeared in: 2024 (6 sets)
The Cartesian equation of the line passing through the point $(1, -3, 2)$ and parallel to the line: $\vec{r} = $2 + \lambda$\hat{i} + \lambda\hat{j} + $2\lambda - 1$\hat{k}$ is (A) $\frac{x - 1}{2} = \frac{y + 3}{0} = \frac{z - 2}{-1}$ (B) $\frac{x + 1}{1} = \frac{y - 3}{1} = \frac{z + 2}{2}$ (C) $\frac{x + 1}{2} = \frac{y - 3}{0} = \frac{z + 2}{-1}$ (D) $\frac{x - 1}{1} = \frac{y + 3}{1} = \frac{z - 2}{2}$