0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
Which best describes skew lines?
Skew lines can simply be described as two lines that are not coplanar (they are not in the same plane). This means that they do not intersect and are not parallel.
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.
Are any two noncoplanar lines skew?
I guess they are. If they're parallel or intersecting, then they're coplanar.
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"
Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
What are two coplanar lines that do not intersect?
Parallel Lines or Skew Lines.
What are two line that dont intersect and are not coplanar?
skew lines
Can two lines be coplanar always?
No. Skew lines are never coplanar. Stand in a cuboid room and consider the line where the opposite wall and the floor meet. Consider also the line where the walls behind you and to your right meet. Those two lines are not coplanar.
If two lines in the same plane and do not intersect they are called?
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.
Why can two lines be coplanar?
Two lines are not always coplanar. If they intersect or are parallel, thenthey're coplanar. But if they're skew, then they're not coplanar.Example of parallel lines in space:The top and bottom edges of a wall in your room.Example of intersecting lines in space:The top edge and left edge of a wall in your room.Example of skew lines in space:The top edge of one wall and the bottom edge of a wall next to it in your room.
Which best describes skew lines?
Skew lines can simply be described as two lines that are not coplanar (they are not in the same plane). This means that they do not intersect and are not parallel.
If two coplanar lines do not intersect then they must be what?
Skew. * * * * * FALSE. In fact, if they are skew, they must intersect. They have to be parallel for them not to intersect.
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.
Are any two noncoplanar lines skew?
I guess they are. If they're parallel or intersecting, then they're coplanar.
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"
Do skew lines always intersect?
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
