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Vector Algebra question

2010 · Shift 1 · Q42

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JEE Advanced
Mathematics
Vector Algebra
2010 · Shift 1 · Q42

Vector Algebra question

2010 · Shift 1 · Q42

JEE AdvancedMathematicsVector AlgebraNumerical+4 / −1

If

\overrightarrow a

and

\overrightarrow b

are vectors in space given by

\overrightarrow a = {{\widehat i - 2\widehat j} \over {\sqrt 5 }}

and

\overrightarrow b = {{2\widehat i + \widehat j + 3\widehat k} \over {\sqrt {14} }},

then find the value of

\,\left( {2\overrightarrow a + \overrightarrow b } \right).\left[ {\left( {\overrightarrow a \times \overrightarrow b } \right) \times \left( {\overrightarrow a - 2\overrightarrow b } \right)} \right].

Numerical answer

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