No, the two planes intersect at a line, which is an infinite number of points.
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
If there are two unique, non-parallel planes in space, they will intersect, and their intersection will be a line.
Some planes have only one intercept.
Yes... if they never intersect, then they are in fact, parallel.
In Euclidean space, they could intersect along their whole lengths (in the lines are identical), at a point if they are coplanar and not parallel, or nowhere if they are parallel or skew.
No, they intersect at a line.
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.
Yes, a single point can belong to multiple planes. In three-dimensional space, a point is defined by its coordinates and can be a part of any number of planes that intersect at that point. For example, if two planes intersect at a line, every point on that line, including the intersection point, is contained in both planes.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
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.
The three-dimensional planes are the XY plane (horizontal plane), the YZ plane (vertical plane), and the XZ plane (lateral plane). These planes intersect at the origin in three-dimensional space and provide a framework for locating points and objects.
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
Yes, if two different planes intersect in three-dimensional space, they do so along one and only one line. This is because the intersection of the two planes consists of all points that satisfy the equations of both planes simultaneously, which geometrically forms a line. If the planes are parallel, they do not intersect at all, and if they are coincident, they overlap completely, but in the case of two distinct planes, the line is the unique intersection.
Noncoplanar lines cannot intersect because they exist in different planes and do not share a common point. However, they can be skew lines, which means they are neither parallel nor intersecting. In three-dimensional space, two lines are only able to intersect if they lie in the same plane. Therefore, it is geometrically impossible for two noncoplanar lines to intersect.
Four planes are not necessarily coplanar. For four planes to be coplanar, they must all intersect along a common line or within the same two-dimensional space. In general, three planes can intersect at a single point or line, but adding a fourth plane may cause it to not share the same intersection, thus not being coplanar. Therefore, unless specific conditions are met, four planes typically do not lie in the same plane.
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
The intersection of two planes in three-dimensional space is typically a line, provided the planes are not parallel. If the planes are parallel, they do not intersect at all. If the two planes are coincident, they overlap completely, resulting in an infinite number of intersection points. The line of intersection can be found by solving the equations of the two planes simultaneously.