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!
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew 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
Correct! Skew lines can never by be parallel.
Skew Lines. :)
skew lines
No. Skew lines are lines in different planes that are parallel.
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew 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
Correct! Skew lines can never by be parallel.
Skew Lines. :)
skew lines
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
Yes, two lines in intersecting planes are never skew. Skew lines are defined as lines that do not intersect and are not parallel, typically found in different planes. Since the two lines are in intersecting planes, they can either intersect or be parallel, but they cannot be skew.
skew
No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.
Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.
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.