Quick Answer: How Many Times Can Two Planes Intersect?

How many times can a plane intersect?

1 Answer.

Bill K.

Typically two planes intersect along some line.

If the planes happen to be parallel, then they will either not intersect at all or they will be the same plane..

Is a plane two dimensional?

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.

What is a vertical plane in geometry?

1 : a plane that passes through a vertical line. 2 : a plane of perspective passing through the point of sight and perpendicular to the ground plane and to the picture.

How many ways can 3 planes intersect?

1) The three planes can be parallel. And not intersect at all. If two planes intersect the intersection will be a line. 2) Two planes can be parallel and the third plane intersects each.

Does a plane extend forever?

A plane is a flat surface that contains infinitely many intersecting lines that extend forever in all directions. Think of a plane as a huge sheet of paper with no thickness that goes on forever. We can use point, line, and plane to define new terms. Space is the set of all points extending in three dimensions.

When 2 planes intersect they form a?

Answer and Explanation: When two planes intersect, they form a line.

What happens if 2 planes intersect?

If two planes intersect each other, the intersection will always be a line.

Can two vertical planes intersect?

The four walls of the room are pieces of four vertical planes. The north wall intersects the east wall and the west wall. The north wall and south wall do not intersect, they are parallel.

Do 2 planes always intersect?

ANSWER: Always; Postulate 2.5 states if two points lie in a plane, then the entire line containing those points lies in that plane. … The intersection of two planes can be a point. SOLUTION: Postulate 2.7 states if two planes intersect, then their intersection is a line. Therefore, the statement is never true.

Can 3 planes intersect at a point?

all three planes form a cluster of planes intersecting in one common line (a sheaf), all three planes form a prism, the three planes intersect in a single point.

What is the intersection of two planes called?

lineThe intersection of two planes is called a line. Planes are two-dimensional flat surfaces. For example, a piece of notebook paper or a desktop are…

When two lines intersect their intersection is A?

If two lines intersect, then their intersection is a Point. For example, when you draw two perpendicular lines in a graph plane, you will see that these two lines intersect. Thus, If two lines intersect, then their intersection is a Point.

Is it possible for 2 lines to intersect in exactly 2 places?

Then imagine the pencil piercing the paper. The pencil pierces the paper in one and only one place. Therefore it is reasonable to conclude that a line cannot pierce a plane in exactly 2 places, which is what Simmons said.