Coplanarity of Three Vectors (a·(b×c)=0 iff a,b,c coplanar (when treated from same point))

jee-advancedjee-main

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.