Question

Determine whether the following statements are always,sometime, or never true.Explain

1.Three points determine a plane.
2.The intersection of two planes can be a point.

1.Never true, the three points must be noncollinear.
2.Never true, the intersection of two planes is a line.
(Are these answers right?) Thanks

Answer 1

1. 3 points do determine a plane, unless the 3 points are collinear, so "sometime"

2. they form a line, unless they are parallel, but never in a point