Find the vector and cartesian equations of the plane passing through the points $(2,5,-3),(-2,-3,5)$ and $(5,3,-3)$. Also, find the point of intersection of this plane with the line passing through points $(3,1,5)$ and $(-1,-3,-1)$.ORFind the equation of the plane passing through the intersection of the planes $\vec{r}\cdot(\hat{i}+\hat{j}+\hat{k})=1$ and $\vec{r}\cdot(2\hat{i}+3\hat{j}-\hat{k})+4=0$ and parallel to $x$-axis. Hence, find the distance of the plane from $x$-axis.