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What would happen if three collinear points are used to define a plane?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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Can 3 collinear points define a plane?
No, they have to be noncolinear, that is they all can't be on the same line.
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 non collinear points are needed to create a plane?
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
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 non-collinear points are there in one plane?
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
How many non-collinear points define a plane?
Three
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
Can 3 collinear points define a plane?
No, they have to be noncolinear, that is they all can't be on the same line.
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 different lines are determined by 3 non collinear points?
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
How many of non collinear points in plane?
Infinitely many. There are infinitely many points in the plane and although any pair of points define a line, no matter how many lines you are given, it is always possible to find a point that is not on any of them - that is, a point that is not collinear.
Can noncollinear parts lie on the same plane?
Yes. In fact any three points that are not collinear define a plane and therefore MUST lie on a plane.
Do 3 non collinear points lie in at least one plane?
Three non-collinear points always define exactly one and only one plane. That's why a 3-legged table or chair never wobbles.
How many non collinear points are needed to create a plane?
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
Are points that are collinear also coplanar explain?
Points that are collinear will be located on the same line. A line is a subset of a plane. Therefore, Yes, points that are collinear will be located on the same plane.
How many different planes are determined by three noncollinear points?
3 non-collinear points define one plane.
How can you name a line and a plane?
Here is one option: 2 points uniquely define a line so a line can be named after any two points that belong to it. Similarly, three points that are not collinear (all in the same line) uniquely define a plane so a plane can be defined by naming any three non-collinear points in it. There are different - though related - forms in coordinate geometry or in vector algebra.
