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Vector Algebra question

2021 · 25 Jul · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 25 Jul · Shift 1 · Q40

Vector Algebra question

2021 · 25 Jul · Shift 1 · Q40

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow p = 2\widehat i + 3\widehat j + \widehat k

and

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

be two vectors. If a vector

\overrightarrow r = (\alpha \widehat i + \beta \widehat j + \gamma \widehat k)

is perpendicular to each of the vectors (

(\overrightarrow p + \overrightarrow q )

and

(\overrightarrow p - \overrightarrow q )

, and

\left| {\overrightarrow r } \right| = \sqrt 3

, then

\left| \alpha \right| + \left| \beta \right| + \left| \gamma \right|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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