1.

\[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})\] is equal to [RPET 1995; Kurukshetra CEE 1998; MP PET 2003]

A. \[(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}-(\mathbf{a}\,.\,\mathbf{a})\,\mathbf{b}\]
B. \[(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{a}-(\mathbf{b}\,.\,\mathbf{c})\,\mathbf{a}\]
C. \[(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}-(\mathbf{a}\,.\,\mathbf{b})\,\mathbf{c}\]
D. \[(\mathbf{a}\,.\,\mathbf{b})\,\mathbf{c}-(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}\]
Answer» D. \[(\mathbf{a}\,.\,\mathbf{b})\,\mathbf{c}-(\mathbf{a}\,.\,\mathbf{c})\,\mathbf{b}\]


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