#5. Find the vector and parametric equations of each plane: (a) the plane through the origin with direction vectors (3, 2, 7) and (0, 1, 2). [2] (b) the plane through the points (1, 3, 2), (0, 1, 2), and (9, 2, 0). [3] (c) the plane with zintercept 4, parallel to the plane x=1+t, y=2+3ts,z=s. [2] #6. Find a Cartesian (scalar) equation for each plane: (a) the plane through (2,1 , 1) with F1 = (5,7,0). [1] Date: Name: (b) the plane with direction vectors (l1 5, 2) and (0, l, 1} through (1, 6, 28). [3] (c) the plane through the points (2, 7, l), (l, l, 1}, and (l , 3, O). [4] (d) the plane parallel to the yzplane, through the point (4, 5, 6). [2]