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How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
How many planes can contain a line and a point on the line?
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
How many planes can intersect a line at a given point?
an infinite number; no limit
Can two planes in three-dimensional space intersect at one point?
No, they intersect at a line.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
Given a line and a point on that line how many different planes contain both of them?
1
Given a line and a point not on that line how many different planes contain both of them?
1
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
In space how many planes can be perpendicular to a given line at a given point?
only 1
How many planes can contain a line and a point not on the line?
exactly 1
Is it possible for two different planes to contain the same line?
Yes, and in fact it is very likely that two planes will contain exactly one identical line. There are three possibilities:The planes are parallel, but not identical, in which case they contain no identical lines.The planes are not parallel, in which case they contain exactly one identical line.The planes are identical, and contain an infinite number of coplanar lines.
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 planes can contain one specific line?
An infinite number of planes. Picture a line and now picture planes going in every direction through the line,
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.
How many planes can be perpendicular to a given line at a given point?
Only one
How many planes contain a point and a line segment?
7Type your answer here...
