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Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
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Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a 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.
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
Why is a plane not defined by three given points?
it is, unless all three points are in the same line (Your "Why" should have be "When")
How many non-collinear points are needed to create a plane?
To create a plane, infinitely many. To uniquely determine a plane, just three.
Are three collinear points coplanar?
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.
What is advantage of three legged stool?
A plane is defined by three points, so a three legged stool is stable because the points on the end of the stool's legs are coplanar
Do a line and a point outside the line determine a plane?
Yes since 3 non-collinear points determine a plane. Of course one can take any two of the three points and draw a line between them. There are an infinite number of planes going through this line. Now pick on more point, not on the line, and those three points uniquely determine a 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.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
What do three points form in geometry?
A plane is named by three points in the plane that is not on the same line.
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
