No, A plane can be drawn through any 3 points.
If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
A three-dimensional space contains at least four noncoplanar points. An example of this is the vertices of a tetrahedron, which consists of four points that do not lie in the same plane. This arrangement ensures that the points span three dimensions, demonstrating their noncoplanarity. Other examples include points in a cube or the corners of a pyramid.
3
yes
It is possible.
Since the question is unfinished, I'll assume the most obvious completion: "planes." Yes, a triangular pyramid is composed of 4 non-co-planar points which form 4 intersecting planes.
A three-dimensional space contains at least four noncoplanar points. An example of this is the vertices of a tetrahedron, which consists of four points that do not lie in the same plane. This arrangement ensures that the points span three dimensions, demonstrating their noncoplanarity. Other examples include points in a cube or the corners of a pyramid.
Noncoplanar points are points that do not lie on the same plane. If you have two rectangles joined together at points CD, then the rectangle at points ABCD have coplanar points but the points EF are not coplanar, that is, they do not lie on the plane defined by ABCD. On the other hand, the points CDEF are coplanar points but points AB are noncoplanar points. Dr Grips
Yes, they do.
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
3
no
skew
yes
skew
skew lines
It is possible.