A) \[\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}\]
B) \[\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}=\mathbf{0}\]
C) \[\mathbf{a}\,.\,\mathbf{b}+\mathbf{b}\,.\,\mathbf{c}+\mathbf{c}\,.\,\mathbf{a}=0\]
D) None of these
Correct Answer: B
Solution :
\[(\mathbf{b}-\mathbf{a})\times (\mathbf{c}-\mathbf{b})=0\] or \[\mathbf{b}\times \mathbf{c}+\mathbf{a}\times \mathbf{b}+\mathbf{c}\times \mathbf{a}=\mathbf{0}\].
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