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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.
What is the greatest number of planes determined by four noncolinear points?
4 planes.
How many planes can go through 3 points?
Through any three non-collinear points, exactly one plane can be defined. If the three points are collinear (lying on a single straight line), then an infinite number of planes can be created, as any plane containing that line will also pass through those points. Thus, the relationship between the points determines the number of planes possible.
How many planes can be determined if the point noncollinear?
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
How many planes are determined by 5 points three are not collinear?
10!
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 can be passed through three points?
Only one if they are non-collinear. An infinite number if they are collinear.
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 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 planes contains three collinear points?
infinite
What is the greatest number of planes determined by four noncolinear points?
4 planes.
How many planes can go through 3 points?
Through any three non-collinear points, exactly one plane can be defined. If the three points are collinear (lying on a single straight line), then an infinite number of planes can be created, as any plane containing that line will also pass through those points. Thus, the relationship between the points determines the number of planes possible.
How many planes can be determined if the point noncollinear?
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
How many planes are determined by 5 points three are not collinear?
10!
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 will contain three non-collinear points?
Exactly one.
