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They are skew lines. Two parallel lines must be in the same plane.
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
They are skew lines. Two parallel lines must be in the same plane.
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
No, as long as the lines will never touch, they are parallelNo, if they have the same slope, they're parallel. This means they could be vertical, horizontal, or anything in between.And don't listen to the other guy, because skew lines are lines on two different planes, never intersect, and are not parallel.
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
No. Skew lines must be in different planes. Skew lines have no common points (they never cross).
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
A+
The importance is that parallel lines must never meet.
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.