A cube has vertices at the eight points (x, y, z), whereeach of x, y, and z is either 0
Chapter 1, Problem 1.3.25(choose chapter or problem)
A cube has vertices at the eight points (x, y, z), whereeach of x, y, and z is either 0 or 1. (See Figure 1.34.)(a) Find the general equations of the planes thatdetermine the six faces (sides) of the cube.(b) Find the general equation of the plane that containsthe diagonal from the origin to (1, 1, 1) andis perpendicular to the xy-plane.(c) Find the general equation of the plane thatcontains the side diagonals referred to inExample 1.22.
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