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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 will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes can contain three point at the same time?
Only one plane can contain three specific points.
How many planes will contain three non-collinear points?
Exactly one.
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
Why do three points sometimes contained in more than one plane?
Three points can lie in more than one plane if they are not collinear. If the three points are non-collinear, they define a unique plane, but if they are collinear, they can lie on infinitely many planes that contain that line. Additionally, if you consider different orientations or positions of planes that intersect the line formed by the collinear points, these also contribute to the existence of multiple planes. Therefore, the arrangement and relationship of the points determine how many planes can contain them.
How many planes can be drawn when three distinct points are collinear?
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.
In general how many planes are there which contain any number of given points?
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
Do planes contain exactly three points?
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
The greatest number of planes that can pass through three collinear points?
You can have an infinite number of planes passing through three collinear points.
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
