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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 2 distinct planes intersect at a point?
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.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
Do two planes always intersect at only one point?
No, two planes do not always intersect at only one point. They can either be parallel and not intersect at all, or they can coincide, meaning they lie on top of each other and share all points. If two planes do intersect, they do so along a line, rather than at a single point.
When two planes intersect they intersect in one and only one?
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
Can three planes all intersect in the same line?
Yes they can. In fact, infinitely many planes can intersect in one line, at least theoretically.
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.
Does three lines intersect at the same point must all be in the same plane?
No. Any pair of the three will describe a plane, so the three possible pairs describe three planes.
How many planes contain the same three collinear points?
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Can two horizontal planes intersect?
No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.
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.
