### Example of Plane-Line Intersections

Multivariable Calculus: Consider the plane x - 2y + z = 7. Are the following lines parallel to the plane? Find all points of intersection. (a) (x-2)/3 = y/-1 = (z-2/)1 (b) (x-2)/1 = y/1 = (z+2)/1, and (c) (x-4)/1 = (y-1)/1 = (z-5)/1.

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