Two planes intersect at a line
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
No. Consider two adjacent faces on a cuboid. Both planes are parallel to the edge at which the intersect. But the fact that they do intersect illustrates that they are not parallel.
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
parralel lines
No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.
Two planes intersect at a line
A line. When two planes intersect, their intersection is a line.
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.
parallel planes
Two distinct planes will intersect in one straight line.
They are mutually perpendicular. However, they need not intersect: if they are in different planes, they will not intersect.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
The angle between two planes when the planes intersect at a point is the acute angle fixed by the normal vectors of the planes.
The intersection of two planes is a line.
Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.