If at least two of the three lines are parallel, the three lines will not form a triangle.
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
They are coplanar. ANY 2 lines would be coplanar, however a third line can be outside of the plane. just like 3 points will designate a plane and a triangle
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.
Not necessarily. The Tropic of Cancer, and the Tropic of Capricorn, imaginary lines on the surface of the earth (an approximate sphere), are parallel but they are not coplanar. You could draw similar lnes on a proper sphere that were parallel but not coplanar.
Two coplanar lines that never intersect are called called parallel lines.
A counterexample to the statement that three coplanar lines always form a triangle is when all three lines are parallel. In this case, the lines do not intersect at any point, and therefore, they cannot form a triangle. Another example is when two lines are coincident (overlapping) and the third line intersects one of them but does not intersect the other, failing to create a triangle.
No, not always. Skew lines are never coplanar, but parallel lines are.
Parallel lines in Euclidean space are always coplanar.
They are always coplanar in Euclidean geometry.
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.
Yes.
No. They could be parallel.
Yes.
Parallel lines are ALWAYS coplanar.
They are ALWAYS coplanar! This is because the definition says so! You have to read it first, in order to get the answer!
They are coplanar. ANY 2 lines would be coplanar, however a third line can be outside of the plane. just like 3 points will designate a plane and a triangle
What is non-coplanar lines?