SOLUTION: Can two lines exist, at the same time that are not intersecting or parallel? Explain your answer.

Question 469301: Can two lines exist, at the same time that are not intersecting or parallel? Explain your answer.
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you're in the 2D plane, then the two lines either intersect or are parallel. There are no other options.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Consider a plane tangent to the surface of the earth containing a line that is oriented exactly north-south. Consider a plane parallel to but not coincident with the first plane containing a line that is oriented exactly east-west. The two lines described are neither parallel nor do they intersect.

Alternatively, consider any four non-coplanar points. Construct a line through either pair. Construct another line through the other pair. The two lines will neither be parallel nor will they intersect.

The correct terminology is "skew lines"

Skew Lines

John

My calculator said it, I believe it, that settles it

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