The line of intersection of the planes \(\vec{r}\cdot \left(3\hat{i}-\hat{j}+\hat{k}\right)=1\) and \(\vec{r}\cdot \left(\hat{i}+4\hat{j}-2\hat{k}\right)=2\), is.
1
\(\displaystyle\frac{x-\displaystyle\frac{6}{13}}{2}=\frac{y-\displaystyle\frac{5}{13}}{-7}=\frac{z}{-13}\)
2
\(\displaystyle\frac{x-\displaystyle\frac{6}{13}}{2}=\frac{y-\displaystyle\frac{5}{13}}{7}=\frac{z}{-13}\)
3
\(\displaystyle\frac{x-\displaystyle\frac{4}{7}}{-2}=\frac{y}{7}=\frac{z-\displaystyle\frac{5}{7}}{13}\)
4
\(\displaystyle\frac{x-\displaystyle\frac{4}{7}}{2}=\frac{y}{-7}=\frac{z+\displaystyle\frac{5}{7}}{13}\)