The unit vector perpendicular to the vectors \[6\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] and \[3\mathbf{i}-6\mathbf{j}-2\mathbf{k},\] is [IIT 1989; RPET 1996]

\[\frac{2\mathbf{i}+3\mathbf{j}+6\mathbf{k}}{7}\]

\[\frac{2\mathbf{i}-3\mathbf{j}+6\mathbf{k}}{7}\]

\[\frac{2\mathbf{i}-3\mathbf{j}-6\mathbf{k}}{7}\]

\[\frac{2\mathbf{i}+3\mathbf{j}-6\mathbf{k}}{7}\]

The unit vector perpendicular to the vectors \[6\mathbf{i}+2\mathbf{j}

1.	The unit vector perpendicular to the vectors \[6\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] and \[3\mathbf{i}-6\mathbf{j}-2\mathbf{k},\] is [IIT 1989; RPET 1996]
A.	\[\frac{2\mathbf{i}-3\mathbf{j}+6\mathbf{k}}{7}\]
B.	\[\frac{2\mathbf{i}-3\mathbf{j}-6\mathbf{k}}{7}\]
C.	\[\frac{2\mathbf{i}+3\mathbf{j}-6\mathbf{k}}{7}\]
D.	\[\frac{2\mathbf{i}+3\mathbf{j}+6\mathbf{k}}{7}\]
Answer» D. \[\frac{2\mathbf{i}+3\mathbf{j}+6\mathbf{k}}{7}\]

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The unit vector perpendicular to the vectors \[6\mathbf{i}+2\mathbf{j}+3\mathbf{k}\] and \[3\mathbf{i}-6\mathbf{j}-2\mathbf{k},\] is [IIT 1989; RPET 1996]

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