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They are basic geometric concepts.
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 '.
4 planes.
If 2 points determine a line, then a line contains infinitely many planes.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
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Coordinated geometry
They are basic geometric concepts.
Not necessarily. Points may lie in different planes.
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 '.
No. A line can lie in many planes. A plane can be defined by three non-linear points. Since a line is defined by only two points, we need another point. (Note that point C alone, or line AB alone belong to an infinite number of planes.)
4 planes.
If 2 points determine a line, then a line contains infinitely many planes.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
You can have an infinite number of planes passing through three collinear points.
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