If \[\mathbf{u}=2\,\mathbf{i}+2\mathbf{j}-\mathbf{k}\]and \[\mathbf{v}=6\,\mathbf{i}-3\,\mathbf{j}+2\,\mathbf{k},\] then a unit vector perpendicular to both u and v is [MP PET 1987]

\[\frac{1}{\sqrt{473}}\,(7\mathbf{i}-10\mathbf{j}-18\mathbf{k})\]

\[\mathbf{i}-10\mathbf{j}-18\mathbf{k}\]

\[\frac{1}{\sqrt{17}}\,\left( \frac{1}{5}\mathbf{i}-2\mathbf{j}-\frac{18}{5}\mathbf{k} \right)\]

If \[\mathbf{u}=2\,\mathbf{i}+2\mathbf{j}-\mathbf{k}\]and \[\mathbf{v}

1.	If \[\mathbf{u}=2\,\mathbf{i}+2\mathbf{j}-\mathbf{k}\]and \[\mathbf{v}=6\,\mathbf{i}-3\,\mathbf{j}+2\,\mathbf{k},\] then a unit vector perpendicular to both u and v is [MP PET 1987]
A.	\[\mathbf{i}-10\mathbf{j}-18\mathbf{k}\]
B.	\[\frac{1}{\sqrt{17}}\,\left( \frac{1}{5}\mathbf{i}-2\mathbf{j}-\frac{18}{5}\mathbf{k} \right)\]
C.	\[\frac{1}{\sqrt{473}}\,(7\mathbf{i}-10\mathbf{j}-18\mathbf{k})\]
D.	None of these
Answer» C. \[\frac{1}{\sqrt{473}}\,(7\mathbf{i}-10\mathbf{j}-18\mathbf{k})\]

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