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.
Yes. You require three non-collinear points to uniquely define a plane!
Yes a plane can always be drawn three any three points, whether they are linear or not.
Yes, three non-collinear points are contained in exactly one plane. By definition, non-collinear points do not all lie on the same straight line, which allows them to define a unique plane. In geometry, any three points that are not collinear will always determine a single plane in which they lie.
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Yes, if you are talking about Euclidean geometry.
Yes. You require three non-collinear points to uniquely define a plane!
Yes a plane can always be drawn three any three points, whether they are linear or not.
Yes, three non-collinear points are contained in exactly one plane. By definition, non-collinear points do not all lie on the same straight line, which allows them to define a unique plane. In geometry, any three points that are not collinear will always determine a single plane in which they lie.
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Is true
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
no
Yes, if you are talking about Euclidean geometry.
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.
A plane is named by three points in the plane that is not on the same line.
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.