The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other.
This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
Nothing HAPPENS! They can intersect in a point or a line.
yes
No, they intersect at a line.
no
No, planes intersect at a line.
yes, three planes can intersect in one point.
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
Nothing HAPPENS! They can intersect in a point or a line.
yes
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
No, they intersect at a line.
no
No, planes intersect at a line.
No, the two planes intersect at a line, which is an infinite number of points.
No, two distinct planes in three-dimensional space cannot intersect at just a single point. They can either be parallel and not intersect at all, or they can intersect along a line. If they intersect, the intersection will always be a line rather than a single point.
Three planes may all intersect each other at exactly one point. This commonly occurs when there is one straight plane and two other planes intersect it at acute or obtuse angles.
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