Let L1 be the line parallel to (1, 6, 2) and contains the point (1,1,0), and L2 be the line containing (-1, 5,2) and (1, -1, -6).

(a) (2 points) Write the vector equations for L1 and for L2

(b) (4 points) Show that L1 and L2 are skew lines

(c) (4 points) Give the standard/ general equation (NOT the vector form) of the plane parallel to both L1 and L2 and contains L2 but not L1.

(d) (3 points) Determine the distance between L1 and L2.