Determine a vector equation for the plane that is parallel to the xy-plane and passes through point (4,1,3). Show support for how your answer was determined. uestion 15 (5 points) (Listen Determine a scalar equation for the plane through the points M(1,2,3) and N(3,2,-1) that is perpendicular to the plane with the equation 3x - 2y + 6z + 1 = 0.Determine the intersection, if any, of the planes with the equations x +y - z + 12 = 0 and 3x + 2z + 8 = 0. uestion 18 (2 points) () Listen Explain why there are many different vector and parametric equations of a line.Find the value of k so that the lines I-3 y+6 2+3 3k+1 2 2k an Question 13 (3 points) () Listen Determine the parametric equations for the plane through the points A(2,1,1), B(0,1,3) and C(1,3,-2). Show support for how your answer was determined.Determine a scalar equation for the plane through the points M(1,2,3) and N(3,2,-1) that is perpendicular to the plane with the equation 3x - 2y + 6z + 1 = 0. Question 16 (2 points) Listen Show that the line with parametric equations x = 6 + 8t, y = -5 + t, z = 2 + 3t does not intersect the plane with the equation 2x - y - 5z - 2 = 0.la Determine the symmetric equations for the line throw 1b) Determine two other points on this line