In a three-dimensional rectangular solid, two planes that intersect could be the plane formed by the front face and the plane formed by one of the side faces. For example, if we take the front face defined by the x-y plane at z = 0 and the side face defined by the y-z plane at x = 0, these two planes will intersect along the edge where the front face meets the side face, creating a line of intersection.
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, planes intersect at a line.
parallel planes
They intersect at a point
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.
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.
Two.
No, planes intersect at a line.
Two planes intersect at a line
yes, three planes can intersect in one point.
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.
parallel planes
A line. When two planes intersect, their intersection is 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...
They intersect at a point
Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.
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.