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No. Normally, two lines will uniquely identify a plane, unless they happen to be parallel. If you add a third line, it will usually not be in the same plane.
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Not quite. Two lines that meet will uniquely identify a plane. But you can have lines that are neither coplanar nor parallel.
For example, consider a cube and think of the line defined by the front bottom and one of the back verticals. Neither parallel, nor coplanar.
What else can I help you with?
What is a counterexample for three coplanar lines always make a triangle?
If at least two of the three lines are parallel, the three lines will not form a triangle.
Are parallel lines always sometimes never coplanar?
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
Are non-coplanar lines skew?
No, non-coplanar lines are not skew. Skew lines are non-coplanar lines that do not intersect and are not parallel. Non-coplanar lines are simply lines that do not lie in the same plane. Skew lines, on the other hand, are non-coplanar and not parallel, making them a specific subset of non-coplanar lines.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
4 points are always coplanar?
Three points are, but not four.
Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
What is a counterexample for three coplanar lines always make a triangle?
If at least two of the three lines are parallel, the three lines will not form a triangle.
Are parallel lines in space coplanar sometimes?
Parallel lines in Euclidean space are always coplanar.
Is two lines that are transversal always never or sometimes coplanar?
They are always coplanar in Euclidean geometry.
Are three lines sometimes coplanar?
yes. three lines can coplaner.
Are 2 lines with a transversal always never or sometimes coplanar?
Two lines with a transversal are always coplanar. By definition, a transversal is a line that intersects two or more lines in the same plane. Therefore, since the transversal and the two lines it intersects share the same plane, they are always coplanar.
Are parallel lines same as coplanar?
Parallel lines are a specific type of coplanar lines that never intersect and are always the same distance apart. While all parallel lines are coplanar, not all coplanar lines are parallel; coplanar lines can also intersect at some point. Therefore, while the two concepts are related, they are not synonymous.
Are two parralel lines always coplanar?
Yes.
Are two parallel lines always coplanar?
Yes.
Do coplanar lines always intersect?
No. They could be parallel.
Are two parallel lines never coplaner?
Parallel lines are ALWAYS coplanar.
Are parallel lines always sometimes never coplanar?
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
