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Is the intersection of two planes always never or sometimes a point?

The intersection of two planes in three-dimensional space is sometimes a point, but more commonly it is a line or can be the same plane. If the two planes are parallel and distinct, they do not intersect at all. If they are identical, every point on the plane is an intersection. Thus, while a point intersection is possible, it is not the only outcome.


What is intersection of two planes?

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.


Can a line be formed by the intersection of two planes?

ONLY a line can be formed by the intersection of two planes...and always.


What is the intersection of two planes is a?

It is a line.


If two different planes intersect then they intersect at one and only one 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.

Related Questions

What is the intersection of two distinct planes?

The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.


The intersection of two distinct planes is a?

A line


What is the intersection of two cor planar?

If two distinct planes intersect, therefore their intersection is a line.


Why do you only need to find two common points to name the intersection of two distinct planes?

Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)


Is the intersection of two planes always never or sometimes a point?

The intersection of two planes in three-dimensional space is sometimes a point, but more commonly it is a line or can be the same plane. If the two planes are parallel and distinct, they do not intersect at all. If they are identical, every point on the plane is an intersection. Thus, while a point intersection is possible, it is not the only outcome.


If two planes intersect what is their intersection called?

A line. When two planes intersect, their intersection is a line.


What is intersection of two planes?

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.


What is the intersection of two planes?

If there are two unique, non-parallel planes in space, they will intersect, and their intersection will be a line.


Can a line be formed by the intersection of two planes?

ONLY a line can be formed by the intersection of two planes...and always.


What occurs when two planes intersect?

The intersection of two planes is a line.


What is the intersection of two planes is a?

It is a line.


If two planes intersect then their intersection is a line Two planes are intersecting?

yes