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.
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.
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).
Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.
Yes, three points define a plane. So any three points lie in some specific plane and are therefore co-planar.
Any 3 points determine a plane.
three points can determine a plane
No. Three points do. Two points determine a line.
Three points can determine a plane but not 3-d space.
A plane
Any 3 points
No. If the four points are coplanar, they determine only one plane!
No, they need not.
Yes.
A plane can be determined by three points, as long as the three points do not lie along a single line.
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.
Any three points which do not form a line.