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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.
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How many planes are determined by 5 noncoplanar points 3 of which are collinear?
3
Can two noncoplanar lines intersect?
yes
Why isn't it possible for two lines to be noncoplanar?
It is possible.
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.
How many planes are determined by 8 noncoplanar points?
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
What are noncoplanar points?
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
Do four noncoplanar points determine a space?
Yes, they do.
Can two points be noncoplanar?
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.
What does noncoplanar mean?
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
How many planes are determined by 5 noncoplanar points 3 of which are collinear?
3
Is it possible for parallel lines to be noncoplanar?
no
What are the two noncoplanar lines that do not intersect?
skew
What are 2 noncoplanar lines that do not intersect?
skew
Can two noncoplanar lines intersect?
yes
Two noncoplanar lines that do not intersect?
skew lines
Why isn't it possible for two lines to be noncoplanar?
It is possible.
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.
