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A cube has edges parallel to the axes one corner is at a 5

Question: A cube has edges parallel to the axes. One corner is at A = (5, 1, 2) and the corner at the other end of the longest diagonal through A is B = (12, 7, 4).

(a) What are the coordinates of the other three vertices on the bottom face?

(b) What are the coordinates of the other three vertices on the top face?

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Mathematics: A cube has edges parallel to the axes one corner is at a 5

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Mathematics: A cube has edges parallel to the axes one corner is at a 5

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