A) \[|\mathbf{a}|\,=\,|\mathbf{b}|\,.\,|\mathbf{c}|\,=1\]
B) \[\mathbf{b}||\mathbf{c}\]
C) \[\mathbf{a}||\mathbf{b}\]
D) \[\mathbf{b}\,\bot \,\mathbf{c}\]
Correct Answer: B
Solution :
\[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})=\mathbf{0}\Rightarrow \mathbf{a}||(\mathbf{b}\times \mathbf{c})\] or \[\mathbf{b}\times \mathbf{c}=\mathbf{0}\] i.e., \[\mathbf{b}||\mathbf{c}\] or \[\mathbf{a}=\mathbf{0}.\]
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