the intersection of two distinct planes can be a _ or a _?
The intersection of two distinct planes can be a line or a point.
To better understand why, let's consider the possible scenarios:
1. If the two planes are not parallel and they intersect, their intersection will be a line. This is because any two planes that are not parallel will have a common line of intersection.
2. If the two planes are parallel but different, meaning they do not intersect at any point, then their intersection will be an empty set or null set. This means that there is no solution or common point of intersection between the two planes.
3. If the two planes are actually the same plane, their intersection will be the entire plane itself.
So, the two possibilities for the intersection of two distinct planes are a line (when they intersect) or a null set (when they are parallel and do not intersect).