Question

1. a set of three lines that has three points of intersection.
2. two planes that intersect.
3. two planes that do not intersect.
4. two rays that intersect at their initial point.

Explanation:

1. Three lines where no two are parallel and no three meet at a single point create 3 distinct intersection points.
2. Any two planes that are not parallel will intersect along a straight line.
3. Planes that never intersect are defined as parallel planes, lying equidistant in 3D space.
4. Two rays sharing the same starting (initial) point intersect exactly at that common origin point.

Answer:

1. A set of three non-parallel, non-concurrent lines (each pair intersects at a unique point, forming a triangle's sides, for example)
2. Two non-parallel planes, which intersect in a straight line
3. Parallel planes
4. Two rays with a common endpoint (initial point)