Question

Tell whether each of the following situations involving three planes is possible. If a situation is possible, make a sketch.

a. None of the three planes intersect.

b. The three planes intersect in one line.

c. The three planes intersect in one point.

d. Two planes do not intersect. The third plane intersects the other two. e. Exactly two planes intersect. The third plane does not intersect the other two.

Answer 1

a. Yes, it is possible because planes can be parallel and never intersect.

b. Yes,

c. Yes, for example a ceiling and two walls intersect at a corner (like a point)

(Sorry I can't include a sketch but use the explanation to draw one!!)