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Vector Algebra question

2021 · 1 Sep · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 1 Sep · Shift 2 · Q44

Vector Algebra question

2021 · 1 Sep · Shift 2 · Q44

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

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

and

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

. Let a vector

\overrightarrow v

be in the plane containing

\overrightarrow a

and

\overrightarrow b

. If

\overrightarrow v

is perpendicular to the vector

3\widehat i + 2\widehat j - \widehat k

and its projection on

\overrightarrow a

is 19 units, then

{\left| {2\overrightarrow v } \right|^2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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