A) \[\mathbf{b}=\mathbf{0}\]
B) \[\mathbf{b}\ne \mathbf{c}\]
C) \[\mathbf{b}=\mathbf{c}\]
D) None of these
Correct Answer: C
Solution :
\[\mathbf{a}\,.\,(\mathbf{b}-\mathbf{c})=0,\] \[\mathbf{a}\times (\mathbf{b}-\mathbf{c})=\mathbf{0}\Rightarrow \mathbf{b}=\mathbf{c}\] or \[\mathbf{a}=\mathbf{0},\] but \[\mathbf{a}\ne \mathbf{0}.\] Hence \[\mathbf{b}-\mathbf{c}=\mathbf{0}.\] i.e., \[\mathbf{b}=\mathbf{c}\].You need to login to perform this action.
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