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Can two planes that do not intersect be parallel?
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
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.
What statement is true of planes in three-dimensional space?
Some planes have only one intercept.
Are two planes that do not intersect parallel?
Yes... if they never intersect, then they are in fact, parallel.
Where do two lines intersect?
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.
Can two planes in three-dimensional space intersect at one point?
No, they intersect at a line.
What would serve as a counter example to the statement Two planes intersect in exactly one line?
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
What is the maximum number of times 2 planes can intersect?
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.
What are the three dimensional planes?
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.
Can two planes intersect in a ray or a segment explain why?
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.
Can two planes that do not intersect be parallel?
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
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.
How many sides does a vertex have?
A vertex is a point and so does not have any sides. In 2-dimensional space, there must be at least 2 lines meeting at a vertex and in 3-dimensional space, there must be at least 3 planes.
What statement is true of planes in three-dimensional space?
Some planes have only one intercept.
What do two lines intersect at?
two lines intersect at a single point in a 2D space assuming they are not parallel. in 3D space they can intersect again at a single point, or an infinite amount of points.
Does the orbits of the planets intersect in space?
No, the orbits of planets in our solar system do not intersect in space. Each planet follows its own unique path around the Sun, and these paths are well separated and do not cross each other. Any apparent intersection of orbits is only in the two-dimensional view from Earth and not in three-dimensional space.
Do perpindicular lines intersect?
In two dimensional space they must. In three (or more) dimensions they need not.
