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Vector Algebra question

2020 · 4 Sep · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 4 Sep · Shift 2 · Q33

Vector Algebra question

2020 · 4 Sep · Shift 2 · Q33

JEE MainMathematicsVector AlgebraNumerical+4 / −1

If

\overrightarrow a = 2\widehat i + \widehat j + 2\widehat k

, then the value of

{\left| {\widehat i \times \left( {\overrightarrow a \times \widehat i} \right)} \right|^2} + {\left| {\widehat j \times \left( {\overrightarrow a \times \widehat j} \right)} \right|^2} + {\left| {\widehat k \times \left( {\overrightarrow a \times \widehat k} \right)} \right|^2}

is equal to

\underline{\hspace{2cm}}

Numerical answer

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