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Skew lines do not lie in the same plane. Parallel lines do lie in the same plane. That's the difference. Neither of them are intersecting, so it can be confusing. Think of 2 highways that 'cross' with an overpass. While a highway is not a 'line' this should help you to understand. The 2 highways do not intersect; one goes 'under' and one goes 'over', so they are skew. This is different than two roads that have an intersection, with a traffic light or stop sign. Even the 'road' term is the same as the Math term!
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How is skew lines are different from parallel lines?
Skew lines are lines that lie on separate planes. and do not intercept parallel lines that are sometimes on the same plane, but don't intersect
Are skew lines never parallel?
Correct! Skew lines can never by be parallel.
Lines in different planes that are neither parallel nor intersecting?
Skew Lines. :)
What is the name of two lines in different planes that do not intersect and are not parallel?
skew lines
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
