What is the minimum number of non-zero vectors that can form a genuinely non-coplanar set and still have zero resultant?
Physics · Mathematical tools and vector · Vector
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Question

What is the minimum number of non-zero vectors that can form a genuinely non-coplanar set and still have zero resultant?

G1 Physics · Accepted Answer

If three vectors sum to zero, one equals the negative sum of the other two and therefore lies in their plane; hence the three are coplanar. Four non-coplanar vectors can have zero resultant, so the minimum is 4.