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Earn +20 ptsQ: Can three points be noncoplanar
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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
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