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Parallel lines are two lines which travel in exactly the same direction, or have exactly the same 2d gradient. This means that they would never touch, even if continued to infinity. Parallel planes are planes which travel in exactly the same direction, or have exactly the same 3d gradient. This means that they too would never touch, even if continued to infinity. The fact that they would never touch means that they cannot intersect at any place, so the number of intersections is 0.
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What are the number of points at which 2 parallel lines intersect?
Zero; parallel lines never intersect.
What is the word that describes the number of points at which parallel lines intersect?
infinety
How many points do tree parallel lines intersect?
None. Parallel lines do not intersect in Euclidean geometry.
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Is it tue that it two planes intersect their points of intersection are finite?
No.
