Given the lines L, defined by endpoints P, = (1, 2, 3) and P = (-2, 1, 1), and L defined by endpoints Py = (4, 2, 5) and Py = (14, 4. 7) answer the following questions. {a) (10 points) What are the unit tangent vectors for lines Ly and L7 {b) (10 points) Are L; and Ls perpendicular? (e) ( [ ) 10 points) Are L, and Ls parallel? (d} ) 10 points) Do lines Ly and L intersect? If so where