Two lines that are not coplaner exist on two different planes. These lines do not and will not intersect by simple definition. It is however, when speaking of three or more lines, when the possibility that two or more of them may intersect.
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skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect skew lines do not intersect and are not coplanar
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.
No; there is no physical way to intersect a plane and a double-napped cone to obtain parallel lines. The problem lies in getting a second line that doesn't intersect the first, since both cones intersect at a point, there is no way get a second line without intersecting the first line.
The lines are perpendicular, and intersect at the point (1.35, 3.55) .