life
3
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.
space
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 cube has 8 non-coplanar points at the vertices and has 6 faces. This is only a partial answer...3 points determine a plane so there will be many more than 6. Your answer is going to be found by the formula n!/(n-r)! where n=8 and r=3. That gives: 40320/120 = 336
Yes, they do.
3
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
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
space
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.
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.
A cube has 8 non-coplanar points at the vertices and has 6 faces. This is only a partial answer...3 points determine a plane so there will be many more than 6. Your answer is going to be found by the formula n!/(n-r)! where n=8 and r=3. That gives: 40320/120 = 336
8
4 planes.
Noncoplanar refers to a set of points or lines that do not lie on the same plane. In geometry, if points or lines are noncoplanar, they exist in different spatial dimensions and cannot be contained within a single flat surface. This concept is often applied in three-dimensional space to describe the relationship between various geometric objects.