Find the vector and Cartesian equations of a plane containing the two lines vector r = (2i + j - 3k) + λ(i + 2j + 5k) and vector r = (3i + 3j + 2k) + μ(3i - 2j + 5k). Also show that the lines vector r = (2i + 5j + 2k) + p(3i - 2j + 5k) lies in the plane.