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The intersection of two planes forms a line.

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βˆ™ 10y ago
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Q: How many planes must intersect to form a line?
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How many planes intersect to form a line?

A minimum of 2, but an infinite number of planes can intersect at the same line.


Can a given line be in two planes?

Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.


How many Two planes intersect in exactly?

Two distinct planes will intersect in one straight line.


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.


Are there always Two planes intersect in a line?

No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.


How many different planes may share exactly one point?

None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.


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.


How many planes can pass through line?

-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.


How many planes must intersect to from a line?

A line segment can be defined as having two endpoints


How many sides to an edge?

An 'edge' is the line in which two sides (planes) intersect.


How many planes can intersect a line at a given point?

an infinite number; no limit


What is the two distinct nonparallel planes?

There is no "the" since there are infinitely many non-parallel planes. Two non-parallel planes are planes that intersect in a line.