1.

If \[\mathbf{a}=\mathbf{i}+2\mathbf{j}-2\mathbf{k},\,\,\mathbf{b}=2\mathbf{i}-\mathbf{j}+\mathbf{k}\]and \[\mathbf{c}=\mathbf{i}+3\mathbf{j}-\mathbf{k},\] then \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})\] is equal to [RPET 1989]

A. \[20\mathbf{i}-3\mathbf{j}+7\mathbf{k}\]
B. \[20\mathbf{i}-3\mathbf{j}-7\mathbf{k}\]
C. \[20\mathbf{i}+3\mathbf{j}-7\mathbf{k}\]
D. None of these
Answer» B. \[20\mathbf{i}-3\mathbf{j}-7\mathbf{k}\]


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