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Is it true that any three points are contained in exactly one plane?
Wiki User
∙ 14y ago
Yes, if you are talking about Euclidean geometry.
Wiki User
∙ 14y ago
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Is it true that three points are always contained in exactly one plane?
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
Are three noncollinear points always contained in only one plane?
Yes a plane can always be drawn three any three points, whether they are linear or not.
Do planes contain exactly three points?
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Through any three points there exists exactly one plane?
Collinear points
Through any three points there is exactly one plane cointaining them?
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Are three points always contained in exactly one plane?
Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane in which all of your points lie, and I can also guarantee that it's the only one.By the way ... three points also determine exactly one circle.
Is it true that three points are always contained in exactly one plane?
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
Are three noncollinear points always contained in only one plane?
Yes a plane can always be drawn three any three points, whether they are linear or not.
Do planes contain exactly three points?
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Through any three points there exists exactly one plane?
Collinear points
Do three collinear points lie in exactly one plane?
yes
Through any three points not on a line there is one?
between two point there is exactly one line between three points there is exactly one 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 different planes are determined by three noncollinear points?
3 non-collinear points define 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.
