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What is the greatest number of planes that can pass through three collinear points?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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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 can be drawn through any three noncollinear points?
Only one plane can pass through 3 non-collinear points.
How many plane are determined by four non collinear points?
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
What would happen if three collinear points are used to define a plane?
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
What is the number of planes in a tetrahedron?
4
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.
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 passed through three points?
Only one if they are non-collinear. An infinite number if they are collinear.
How many planes can made to pass through three collinear points?
three
How many planes can be made to pass through three collinear points?
three
How many planes can you draw through three non-collinear points?
Exactly one.
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 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 different planes can pass through 3 non-collinear points?
In Euclidean geometry, only one.
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
How many planes contains three collinear points?
infinite
What is the greatest number of planes determined by four noncolinear points?
4 planes.
