(a) Show that the portion of the plane z = 5x + 2y lying above the rectangle in the xy-plane with vertices (1, 1,0), (3, 1, 0), (3, 2, 0), and (1, 2, 0) is a parallelogram.
(b) Find the areas of the projections of this parallelogram onto the yz- and xz- planes.
(c) Find the area of the parallelogram.
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