A unit vector perpendicular to both \stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{k} and 2 \stackrel{\^}{i}+\stackrel{\^}{j}+3 \stackrel{\^}{k} is ..........................

Correct Answer is : (2^i−^j−^k)√6

(2 \stackrel{\^}{i}-\stackrel{\^}{j}-\stackrel{\^}{k}) \sqrt{6}

\stackrel{\^}{(2 {i}-\stackrel{\^}{j}-\stackrel{\^}{k})}/{\sqrt{6}}

2 \stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{k}

\stackrel{\^}{3 {i}+\stackrel{\^}{j}-2 \stackrel{\^}{k}}/{\sqrt{6}}

KCET 2011 Math Solved Paper

Question : 23 of 60

Marks: +1, -0

A unit vector perpendicular to both

and 2

is ..........................

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