a line that intersectgs two nonintersecting planes
draw u parallel lines and then a perpendicular one that goes through
both
If two planes do not intersect, it means that they are parallel to each other. Consequently, no line can intersect both planes simultaneously. This is because a line can only intersect a plane at a single point or be contained within the plane. Therefore, there is no line that can intersect two non-intersecting planes.
To understand this concept, it may be helpful to visualize it in 3D space. Imagine two flat sheets of paper representing the two planes. If you hold them parallel to each other, no matter how you position a ruler or line in between them, it will either lie entirely within one plane or not intersect either plane.