Two non-parallel lines in a plane will intersect at exactly one point. This is because non-parallel lines have different slopes, which means they will eventually cross each other. If the lines were parallel, they would never meet. Thus, the intersection of two non-parallel lines is a unique point.
The lines have to intersect because lines go on forever and if then are not parallel then they will collide. Even if they are not parallel by one degree they will still intersect.
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
Non-parallel lines intersect at some point, parallel lines don't.
A vertex? In non-euclidean geometry: A two distinct parallel lines intersect in the "Infinity zone"
Two non-parallel lines intersect at exactly one point. This is because non-parallel lines, by definition, will eventually cross each other unless they are coincident (which means they lie on top of each other). In the case of non-parallel lines, they will always meet at a single unique point in a two-dimensional plane.
The lines have to intersect because lines go on forever and if then are not parallel then they will collide. Even if they are not parallel by one degree they will still intersect.
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
Are non-parallel lines.
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.
Skew lines
Non-parallel lines intersect at some point, parallel lines don't.
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.
All non-parallel lines in a plane will intersect at some point in the plane.
A vertex? In non-euclidean geometry: A two distinct parallel lines intersect in the "Infinity zone"
In Euclidean geometry, parallel lines never intersect. They go this way forever and never intersect but watch this typing. _______________ _______________ In non-Euclidean geometry, they intersect when the faces are uneven.
no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.
Non-intersecting lines in 3-D space may be parallel but need not be.