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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.
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Can four noncoplanar points be used to form two intersecting?
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.
Can four points contain exactly one plane?
yes if it is a square of recatgle
Does every set of data points have a unique least squares straight line fit?
No. Consider four points at the corners of a perfect square.
Can you draw a circle through the four points of a trapezoid?
Yes, you can draw a circle through the four points of a trapezoid, because the four points of the trapezoid can be equidistant from one point, making that distance the radius.
How many points does a tetrahedron have?
Four.
