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Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.
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Can three points determine space?
Three points can determine a plane but not 3-d space.
Three points that determine a plane?
Any 3 points determine a plane.
True or false Any three points can be the verticies of a triangle?
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
What does three noncollinear points determine?
A plane
Which set of points does not determine a spherical triangle?
Three non-collinear points do not determine a unique spherical triangle.
Can three points determine space?
Three points can determine a plane but not 3-d space.
Do two points determine a plane?
No. Three points do. Two points determine a line.
Three points that determine a plane?
Any 3 points determine a plane.
True or false Any three points can be the verticies of a triangle?
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
What three type of points determine a plane?
Any 3 points
What does three noncollinear points determine?
A plane
Which set of points does not determine a spherical triangle?
Three non-collinear points do not determine a unique spherical triangle.
What is the minimum number of points needed to identify a line?
Two. Two points determine a line. Three points determine a plane.
What kind of points determine a plane?
Any three points which do not form a line.
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.
Do three points always determine a plane?
No, they need not.
Three collinear points determine a plane?
Yes.
