A) \[\mathbf{a}\,\mathbf{.}\,\mathbf{b}+\mathbf{b}\,\mathbf{.}\,\mathbf{c}+\mathbf{c}\,\mathbf{.}\,\mathbf{a}=0\]
B) \[\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{c}=\mathbf{c}\times \mathbf{a}\]
C) \[\mathbf{a}\,\mathbf{.}\,\mathbf{b}=\mathbf{b}\,\mathbf{.}\,\mathbf{c}=\mathbf{c}\,\mathbf{.}\,\mathbf{a}\]
D) \[\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{c}=\mathbf{c}\times \mathbf{a}=0\]
Correct Answer: B
Solution :
Here \[a+b+c=0\]. Take cross products with a and b by turn.You need to login to perform this action.
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