Find an equation of the plane perpendicular to D and through P, where D = 10i 10j + 5k and P is (1,1,-3). Find a plane crossing through (1,3,3), parallel to the plane 3x + y -z = 8. Is it possible to find a plane perpendicular to both i and j? By vector methods find the distance from the point (3,4,7) to the plane 2x - y - 2z = 4. Find the distances between the pairs of planes (a) x + 2y + 3z = 5 and x + 2y + 3z = 19 (b) x + y = 4 and x + y = 10 (c) x 5 and x = 7 (no calculations needed here!)