Question:
The Cartesian equation of the line passing through the point \((1,-3,2)\) and parallel to the line \(\vec{r}=2\hat{i}-\hat{k}+\lambda(\hat{i}+\hat{j}+2\hat{k})\) 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. \(\frac{x-1}{1}=\frac{y+3}{1}=\frac{2-z}{-2}\)