A) \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})=(\mathbf{a}\times \mathbf{b})\times \mathbf{c}\]
B) \[\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{a}\]
C) \[\mathbf{a}\,.\,(\mathbf{b}\times \mathbf{c})=\mathbf{a}\,.\,\mathbf{b}\times \mathbf{a}\,.\,\mathbf{c}\]
D) \[\mathbf{a}\,.\,(\mathbf{b}-\mathbf{c})=\mathbf{a}\,.\,\mathbf{b}-\mathbf{a}\,.\,\mathbf{c}\]
Correct Answer: D
Solution :
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