Just a Plane Simple Problem
Geometry
Level
1
In a three-dimensional space, I draw a line that is contained in a plane.
I then draw another line in the same space that is parallel to this line and is contained in another plane.
Do these planes have to intersect?
Yes
No
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1 solution
If the lines are parallel, they will never intersect. This means that the planes on which they are graphed also have the possibility to not intersect, if they are also parallel.
To visualize in the real world, imagine a line on a piece of paper on one shelf, and another paper with the exact same line put on a shelf above or below. The lines are parallel, and so are the planes on which they are graphed. Therefore, these planes will never intersect.