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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.

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Q: In general how many planes are there which contain any number of given points?
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Related questions

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 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.


What is the greatest number of planes that can pass throughg 3 collinear points?

If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.


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.


How many planes can contain two given points?

If 2 points determine a line, then a line contains infinitely many planes.


How many planes will contain three non colliear points?

One.


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.


How many planes will contain three non-collinear points?

Exactly one.


What is the greatest number of planes determined by four noncolinear points?

4 planes.


Does intersection of 2 planes always contain at least 2 points?

YES. The intersection of two planes always makes a line. A line is at least two points.


What is the greatest number of planes that can pass through three collinear points?

The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.


How many planes will contain 3 noncollinear points?

1, exactly 1 plane will