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QJEEAdv04Ma905e: JEE Advanced 2004 Physics - Class 11 JEEAdv04Ma905e Solution: The unit vector which is orthogonal to the vector and is…

The unit vector which is orthogonal to the vector

3\overrightarrow i + 2\overrightarrow j + 6\overrightarrow k

and is coplanar with the vectors

\,2\widehat i + \widehat j + \widehat k

and

\,\widehat i - \widehat j + \widehat k

\,\,\,

is

Multiple Choice Options

A ${{2\widehat i - 6\widehat j + \widehat k} \over {\sqrt {41} }}$
B ${{2\widehat i - 3\widehat j} \over {\sqrt {13} }}$
C ${{3\widehat i - \widehat k} \over {\sqrt {10} }}$
D ${{4\widehat i + 3\widehat j - 3\widehat k} \over {\sqrt {34} }}$

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