Find the vector and cartesion equations of a plane containing the two lines `vec r=2hatj+hatj-3hatk+lambda(hati+2hatj+5hatk)` and `vec r=3hati+3hatj+2hatk+mu(3hati-2hatj+5hatk)`.Also show that the line `vec r=2hati+5hatj+2hatk+p(3hati-2hatj+5hatk)` lies in the plane.