If \overrightarrow{a}=2 \stackrel{\^}{i}+3 \stackrel{\^}{j}-\stackrel{\^}{k}, \overrightarrow{b}=\stackrel{\^}{i}+2 \stackrel{\^}{j}-5 \stackrel{\^}{k}, \overrightarrow{c}=3 \stackrel{\^}{i}+5 \stackrel{\^}{j}-\stackrel{\^}{k}, then a vector perpendicular to \overrightarrow{a} and in the plane containing \overrightarrow{b} and \overrightarrow{c} is

Correct Answer is : −17^i−21^j−97^k

17 \stackrel{\^}{i}+21 \stackrel{\^}{j}-123 \stackrel{\^}{k}

-17 \stackrel{\^}{i}+21 \stackrel{\^}{j}-97 \stackrel{\^}{k}

-17 \stackrel{\^}{i}-21 \stackrel{\^}{j}-97 \stackrel{\^}{k}

-17 \stackrel{\^}{i}-21 \stackrel{\^}{j}+97 \stackrel{\^}{k}

KCET 2007 Math Solved Paper

Question : 6 of 60

Marks: +1, -0

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, then a vector perpendicular to

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and in the plane containing

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