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If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
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Three points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
Can three points determined a plane?
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
When are four points in a plane?
Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.
Is every set of three points coplanar?
Yes, three points define a plane. So any three points lie in some specific plane and are therefore co-planar.
Three points that determine a plane?
Any 3 points determine a plane.
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 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 points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
Do three points always determine a plane?
No, they need not.
Three collinear points determine a plane?
Yes.
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single 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.
