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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 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 through any three noncollinear points?
Only one plane can pass through 3 non-collinear points.
If three points are coplanar they are also collinear?
no.
If four points are collinear they are also coplaner?
I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
How many planes will contain three non-collinear points?
Exactly one.
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 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
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 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 contains three collinear points?
infinite
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 are determined by 5 points three are not collinear?
10!
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 you draw through three non-collinear points?
Exactly one.
