1.

If \[\mathbf{a}=2\mathbf{i}+\mathbf{k},\,\,\mathbf{b}=\mathbf{i}+\mathbf{j}+\mathbf{k}\] and \[\mathbf{c}=4\mathbf{i}-3\mathbf{j}+7\mathbf{k}.\] If \[\mathbf{d}\times \mathbf{b}=\mathbf{c}\times \mathbf{b}\] and \[\mathbf{d}\,.\,\mathbf{a}=0,\] then d will be [IIT 1990]

A. \[\mathbf{i}+8\mathbf{j}+2\mathbf{k}\]
B. \[\mathbf{i}-8\mathbf{j}+2\mathbf{k}\]
C. \[-\mathbf{i}+8\mathbf{j}-\mathbf{k}\]
D. \[-\mathbf{i}-8\mathbf{j}+2\mathbf{k}\]
Answer» E.


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