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A cube has vertices at the eight points ( x , y , z ), where each of x , y , and z is either 0 or 1. o Find the general equations of planes that determine the six faces (sides) of the cube. o Find the general equation of the plane that contains the diagonal from the origin to ( 1, 1, 1) and is perpendicular to the xy -plane. o Find the general equation of the plane that contains the side diagonals.


A cube has vertices at the eight points (x, y, z), where each of x, y, and z is either 0 or 1.


o Find the general equations of planes that determine the six faces (sides) of the cube.
o Find the general equation of the plane that contains the diagonal from the origin to (1, 1, 1) and is perpendicular to the xy-plane.
o Find the general equation of the plane that contains the side diagonals.

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1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
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