The unit vector which is orthogonal to the vector \stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{k} and is coplanar with vectors \stackrel{\^}{i}+2 \stackrel{\^}{j}-{k^{\^}} and 2 \stackrel{\^}{i}+\stackrel{\^}{j}+3 \stackrel{\^}{k}, is

Correct Answer is : ^i+5^j−6^k√62

\stackrel{\^}{{i}+5 \stackrel{\^}{j}-6 \stackrel{\^}{k}}/{\\sqrt{62}

\stackrel{\^}{{i}+3 \stackrel{\^}{j}-\stackrel{\^}{k}}/{\\sqrt{11}

\stackrel{\^}{{i}+7 \stackrel{\^}{j}}/{\\sqrt{50}

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

AMU Engineering 2018 solved paper Solved Paper

Section: Mathematics

Question : 140 of 150

Marks: +1, -0

The unit vector which is orthogonal to the vector

and is coplanar with vectors

−

and 2

, is

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