Coplanarity of Three Vectors (a·(b×c)=0 iff a,b,c coplanar (when treated from same point))
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a·(b×c)=0 iff a,b,c coplanar (when treated from same point)
When to use this
Degenerate cases: if b×c=0, vectors parallel in plane — still coplanar; STP=0.