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equation. a. Give the equations of two intersecting lines that lie on this plane. b. What point do these two lines have in common? 9. Determine the coordinates of the point where the plane with equation (4, l, 6) + s(ll, 1, 3) + t(7, 2, 2), s, teR, crosses the z-axis. 10. Determine the equation of the plane that contains the point 1, 2, 1) and (2, 1, 3) + s(4, 1, 5), seR. the line r 11. Determine the equation of the plane that contains the point A(2, 2, 3) and the line = m(2, 1, 7), meR. 12. a. b. 13. a. b. c. Determine two pairs of direction vectors that can be used to represent the 3 xy-plane in R 3 Write a vector and parametric equations for the xy-plane in R Determine a vector equation for the plane containing the points 0(0, 0, 0), A(-l, 2, 5), and C(3, -1, 7). Determine a vector equation for the plane containing the points P(-2, 2, 4, 8), and R(l, 1, 10). How are the planes found in parts a. and b. related? Explain your answer.