question_answer

If \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0},\,\,\mathbf{c}\ne \mathbf{0}\], then true statement is [MP PET 1991]

A)                 \[\mathbf{a}\times (\mathbf{b}+\mathbf{c})=(\mathbf{c}+\mathbf{b})\times \mathbf{a}\]   

B)                 \[\mathbf{a}\,.\,(\mathbf{b}+\mathbf{c})=-(\mathbf{b}+\mathbf{c})\,.\,\mathbf{a}\]

C)                 \[\mathbf{a}\times (\mathbf{b}-\mathbf{c})=(\mathbf{c}-\mathbf{b})\times \mathbf{a}\]

D)                 \[\mathbf{a}\,.\,(\mathbf{b}-\mathbf{c})=(\mathbf{c}-\mathbf{b})\,.\,\mathbf{a}\]