Answer to Question #287006 in Analytic Geometry for jay

Question

LESSON: LINES AND PLANES IN SPACE

in your understanding what is meant by the statement "two planes determine a line"? is this universally tru?

Answer 1

The statement "two planes determine a line" is not universally true.

If two planes intersect each other, the intersection will always be a line.

If the planes do not intersect, they are parallel. They cannot intersect at only one point because planes are infinite.

Therefore the true statement is "two intersecting planes determine a line".