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Vector Algebra question

2021 · 17 Mar · Shift 2 · Q37

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JEE Main
Mathematics
Vector Algebra
2021 · 17 Mar · Shift 2 · Q37

Vector Algebra question

2021 · 17 Mar · Shift 2 · Q37

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow x

be a vector in the plane containing vectors

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

and

\overrightarrow b = \widehat i + 2\widehat j - \widehat k

. If the vector

\overrightarrow x

is perpendicular to

\left( {3\widehat i + 2\widehat j - \widehat k} \right)

and its projection on

\overrightarrow a

is

{{17\sqrt 6 } \over 2}

, then the value of

|\overrightarrow x {|^2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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