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Show all work to receive any credit. Correct answers without supporting work will receive NO credit! 1. Consider the plane 2x + 2y - 32 = 18. (a) Find a point that is not on this plane. (b) Find an equation of a line that passes through the point you chose in part a. ) and is parallel to the y - axis. (c) Find the distance between the line you gave in part b.) and the point (-1, 1, 2). (d) Find an equation of a line that does not intersect the plane 2x - 3y + 62 = 18. (e) Show that the line you gave in the previous part that does not intersect the plane 2x - 3y + 6z = 18. (f) Find the distance from the point you chose in part a.) to the plane 2x -3y +6z = 18. g) Find a point that is on the plane 2x + 2y - 3z = 18. (h) Find the distance from the point in part g.) to the plane 2x + 2y - 3z = 18. (i) Comment on the answers to part f.) and h.)