0
What else can I help you with?
Are parallel lines in space coplanar?
Parallel lines will be co-planar.
If two lines are not coplanar then they are neither intersecting nor parallel?
CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
When are skew lines coplanar?
Never! Coplanar means that the two lines lie in the same two-dimensional plane. The only way that two lines do not intersect in two-dimensional space is if they are parallel. And by definition, skew lines are not allowed to be parallel, either.So essentially there is no such thing as skew lines that only occupy two dimensions. Skew lines must be in three dimensions or higher in order to (1) not intersect and (2) not be parallel with each other.
How many non coplanar line determine a space?
3 non-coplanar (pairwise) lines for 3 dimensional space.
What are lines that go on foever and never cross?
In 2-dimensional space they must be parallel. In 3-d space they be parallel or skew lines I believe.
Are parallel lines in space coplanar?
Parallel lines will be co-planar.
If two distinct lines do not intersect are they parallel?
If they are coplanar in a Euclidean space, then yes. If they are not coplanar or not in Euclidean space, then not necessarily.
If two lines are not coplanar then they are neither intersecting nor parallel?
CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
Where do two lines intersect?
In Euclidean space, they could intersect along their whole lengths (in the lines are identical), at a point if they are coplanar and not parallel, or nowhere if they are parallel or skew.
When are skew lines coplanar?
Never! Coplanar means that the two lines lie in the same two-dimensional plane. The only way that two lines do not intersect in two-dimensional space is if they are parallel. And by definition, skew lines are not allowed to be parallel, either.So essentially there is no such thing as skew lines that only occupy two dimensions. Skew lines must be in three dimensions or higher in order to (1) not intersect and (2) not be parallel with each other.
How many non coplanar line determine a space?
3 non-coplanar (pairwise) lines for 3 dimensional space.
When there is a transversal of two lines the three lines are coplanar?
Normally, yes. A transversal contemplates crossing two (normally parallel) lines in conversations about two dimensional space and the relationship of certain angles. If you are talking about three dimensions, all bets are off. Two skewed lines in three dimensional space could would have a line that connects them but none of them would be coplanar.
What are two lines that do not lie in the same place called?
Two lines that do not lie in the same place are called non-coplanar lines. This means that the lines do not intersect and are not parallel to each other in three-dimensional space.
What are coplanar angles?
mama mo * * * * * An angle is formed when 2 lines meet at a point: the vertex. Two lines which meet in this way always define a plane. Coplanar angle are two or more angles which are all in the same plane. In 3-dimensional space, it is easy to find angles which are not coplanar. For example, in a cuboid room, the angle formed by the lines where the floor meets two adjacent walls, and where the ceiling meets the same two walls are not coplanar: the angles lie in parallel planes. The same first angle and the angle formed where the ceiling meets another pair of walls are neither coplanar nor in parallel planes: they are in skew planes.
What are lines that go on foever and never cross?
In 2-dimensional space they must be parallel. In 3-d space they be parallel or skew lines I believe.
Are lines with three dimensions which do not intersect are not parallel?
Non-intersecting lines in 3-D space may be parallel but need not be.
Can two lines be both non intersecting and non parallel?
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.
