Question: Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with

Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

6. Find the scalar equation of the plane through the points M(1,2,3) and N(3,2,-1) that is perpendicular to the plane with equation 3x + 2y + 6z +1 = 0. 7. Determine the value of k so that the line with parametric equations x = 2 + 3t, y = -2 + 5t, z = kt is parallel to the plane with equation 4x + 3y - 3z -12 = 0. 8. a. Find the scalar equation of the plane that passes through the point (4, 1, 3) and is parallel to the yz-plane. b. Use what you have found in part a) to find the scalar equation of the plane if it was parallel to the xz-plane? 9. The planes Ajx + Bly + Cqz + D, = 0 and A2x + Bay + Caz + D2 = 0 are perpendicular. Find the value of A 1A2 + B1B2 + C1C2
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