Yes.
For instance a plane.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
A definition, perhaps.
Plane. (That's why a 3-legged stool never wobbles.)
3.Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them.
For instance a plane.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
A definition, perhaps.
Any three points that are non-collinear (not on the same line) will determine a plane.
Plane. (That's why a 3-legged stool never wobbles.)
3.Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them.
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.
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
Three points can lie in more than one plane if they are not collinear. If the three points are non-collinear, they define a unique plane, but if they are collinear, they can lie on infinitely many planes that contain that line. Additionally, if you consider different orientations or positions of planes that intersect the line formed by the collinear points, these also contribute to the existence of multiple planes. Therefore, the arrangement and relationship of the points determine how many planes can contain them.
To create a plane, infinitely many. To uniquely determine a plane, just three.
A plane is defined by at least three non-collinear points. While an infinite number of points can exist within a plane, the minimum requirement to determine a unique plane is three points that do not all lie on the same straight line.
Three