## Can two planes intersect in exactly one point?

Answer 1:

As explained below.

Explanation:

Planes are not lines. Only lines intersect at a point. Planes intersect along a line.

Answer 2:

See explanation…

Explanation:

There are several ways to think about this. Here’s one…

The general equation of a plane in three dimensional (Euclidean) space can be written (non-uniquely) in the form:

\(a x+b y+c z+d=0\)Given two planes, we have two linear equations in three variables:

Either these equations will be inconsistent, or they will have an infinite number of solutions.