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.