Yes. That's why a 3-legged stool never wobbles.
Yes. That's why a 3-legged stool never wobbles.
Yes. Every line has an infinite number of distinct points.
If they lie in the same plane.
all of them are collinear they lie in the same plane
a line that passes through two lines in the same plane at two distinct points
lie on the same plane and are collinear
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
A plane contains at least three non-collinear points. While two points can define a line, three points are necessary to establish a plane since they must not all lie on the same straight line. Therefore, the minimum requirement for defining a plane is three distinct points.
Sometimes.
A plane in three-dimensional space is defined by three non-collinear points. If the points are collinear, they do not define a unique plane, as an infinite number of planes can pass through a line. Therefore, at least three points that are not on the same line are necessary to establish a distinct plane.
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.
Points or lines that lie on the same plane are coplanar.