What can be the relative position of the planes a and b, if it is known that none of the straight lines lying in the plane a lies in the plane b?
If the planes a and b coincide, then any line belonging to a belongs to b.
If the planes intersect, then both in the a plane and in the b plane there is a single straight line belonging simultaneously to a and b. This straight line is the line of intersection of the planes.
And if the planes a and b are parallel, then no straight line belonging to a belongs to b, and not a single straight line belonging to b lies in a.
Answer. Planes a and b are parallel.
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