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Given a cube ABCD.EFGH with the length of each edge is 4 cm. What is the distance between lines CE and BG? (the lines are skew each other)

Mathematics
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Would you label the vertices of the uploaded diagram of a cube so that the points are consistent with those on the cube in the posted problem? Thanks. @chihiroasleaf
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the sketch of the cube looks like this.. |dw:1362389289192:dw|
CE = 4√3 cm BG = 4√2 cm

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Other answers:

@chihiroasleaf Are you asking for the difference in size between a face diagonal segment BG of the cube and the diagonal of the cube, segment ED? Or, are you asking what is the minimum distance between the skew lines BG and ED?
I'm asking the minimum distance between the skew lines BG and ED @Directrix

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