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.
parallel planes
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.
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
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.
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
To choose two planes that intersect within a three-dimensional rectangular solid (also known as a rectangular prism), you can select one vertical plane parallel to one of the rectangular faces and a horizontal plane parallel to another face. For example, if you take a vertical plane that cuts through the length of the solid and a horizontal plane that cuts through the width, these two planes will intersect along a line within the solid. This intersection line is where the two planes meet, effectively dividing the solid into distinct regions.
No.
yes, it may be the two plane intersect at one line or the two planes are coincident.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Yes, they can.
No, the two planes intersect at a line, which is an infinite number of points.
yes