Unit 6 Assignment 1. A line passes through the points M (4,5) and N (9,5). Determine vector and parametric equations for this line. 2. A line passes through the points A (-3, 5) and B (-2, 4). Determine the scalar equation of this line 3. Are these vector equations the same line? (x,y,z) = (11, -2, 17) + t(3,-1,4) (x. y.z) = (-13,6,-10) + t(-3, 1, -4) 4. Determine the vector equation and the corresponding parametric equations of the plane passing through the points A(1, 1, 0) and B(4,5, -6) with direction vector a = (7, 1,2) 5. a) Find the vector and parametric equations of the plane containing A (1,0, -3), B(2, -3, 1) and C (3,5,-3). b) Determine if the point Q(5, 7, 1) is on the plane. 6. Determine the Cartesian equation of the plane containing three noncollinear points A(-1, 2, 1), B(3, 1, 4) and C(-2,3,5) 7. Show that the planes m,: 2x - 3y + z -1 = 0 and #2:4x - 3y - 17z = 0 are perpendicular