Find a cartesian equation of the plane \(\Pi_{1}\) passing through the points with coordinates \((2,-1,3)\), \((4,2,-5)\) and \((-1,3,-2)\).

The plane \(\Pi_{2}\) has cartesian equation \(3 x-y+2 z=5\). Find the acute angle between \(\Pi_{1}\) and \(\Pi_{2}\).

Find a vector equation of the line of intersection of the planes \(\Pi_{1}\) and \(\Pi_{2}\).