I would prefer the answers typed out but if you MUST use paper be clear and neat. Answer each question correctly and briefly explain how you got the answer. Use your knowledge of Lines and Planes specifically for this! Thanks!

7. Determine the intersection, if any, of the planes with equations x + y -z + 12 =0 and 2x + 4y - 3z + 8 =0. 8. Solve the following system of equations and give a geometrical interpretation of the result. xty+z=6 2x+ y - 3z =-5 4x - 5y + z=-3 9. Give a geometrical interpretation of the intersection of the planes with equations x+y-3=0 y+z+5=0 X+z+2=0 10. Determine a scalar equation for the plane that passes through the point (2, 0, -1) and is perpendicular to the line of intersection of the planes 2x + y- z +5 =0 and x + y +2z + 7=0. 11. Explain why there are many different vector and parametric equations for a line