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No, they need not.

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Q: Do three points always determine a plane?
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Three points that determine a plane?

Any 3 points determine a plane.


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.


When would three points not determine a plane?

A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.If a straight line can be drawn through all three points, they will not form one unique plane either.


What determines a plane?

three points can determine a plane


Do two points determine a plane?

No. Three points do. Two points determine a line.


Can three points determine space?

Three points can determine a plane but not 3-d space.


What does three noncollinear points determine?

A plane


What is a co-plan?

A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line


What three type of points determine a plane?

Any 3 points


Is it true that the four coplanar points determine three unique plane?

No. If the four points are coplanar, they determine only one plane!


Three collinear points determine a plane?

Yes.


Three points determine a plane.?

Any three points that are non-collinear (not on the same line) will determine a plane.