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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2011
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Q)
If $\overrightarrow{a} = \frac{1}{\sqrt{10}} (3 \hat{i} + \hat{k})$ and $\overrightarrow{b} =\frac{1}{7} (2 \hat{i} + 3 \hat{j} - 6\hat{k})$, then the value of $(2 \overrightarrow{a} - \overrightarrow{b} ) . [ (\overrightarrow{a} \times \overrightarrow{b} ) \times (\overrightarrow{a} + \overrightarrow{2b} ) ]$ is
( A ) 5
( B ) -3
( C ) 3
( D ) -5
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