Find the vector and Cartesian equations of the plane passing through the points $(2,2-1),(3,4,2)$ and $(7,0,6)$. Also find the vector equation of a plane passing through $(4,3,1)$ and parallel to the plane obtained above.ORFind the vector equation of the plane that contains the lines $\vec{r}=(\hat{i}+\hat{j})+\lambda(\hat{i}+2\hat{j}-\hat{k})$ and the point $(-1,3,-4)$. Also, find the length of the perpendicular drawn from the point $(2,1,4)$ to the plane, thus obtained.