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If two planes intersect do they intersect in exactly one plane?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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Three planes may all intersect each other at exactly one point?
Three planes may all intersect each other at exactly one point. This commonly occurs when there is one straight plane and two other planes intersect it at acute or obtuse angles.
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight line.
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
Is it true that three planes can intersect in only one point?
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
Can two different planes intersect a line?
Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.
Two planes can intersect on exactly one point?
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
Three planes may all intersect each other at exactly one point?
Three planes may all intersect each other at exactly one point. This commonly occurs when there is one straight plane and two other planes intersect it at acute or obtuse angles.
Can Two planes can intersect in exactly one point?
The intersection of two planes is a line. (or a massive explosion...lol)
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight line.
What plane has the two number lines that intersect?
Think about it, the x & y planes intersect and what one number has both, the x & y planes intersect. 0 on the coordinate plane is the, origin.
When two planes intersect do they intersect in a straight line?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
If two planes intersect than they intersect at exactaly one point?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Can intersecting planes always intersect in exactly one point?
The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.
Could three planes intersect in exactly one point?
no
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
Can exactly two planes intersect and the third plane does not intersect the other two?
We don't think so. We reasoned it out like this: -- Two planes either intersect or else they're parallel. -- If two planes intersect, then they're not parallel. -- In order for the third one to avoid intersecting either of the first two, it would have to be parallel to both of them. But if they're not parallel to each other, then that's not possible. If the third plane is parallel to one of the first two, then it's not parallel to the other one, and it must intersect the one that it's not parallel to.
