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Vector Algebra question

2021 · 25 Feb · Shift 2 · Q46

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 25 Feb · Shift 2 · Q46

Vector Algebra question

2021 · 25 Feb · Shift 2 · Q46

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a = \widehat i + \alpha \widehat j + 3\widehat k

and

\overrightarrow b = 3\widehat i - \alpha \widehat j + \widehat k

. If the area of the parallelogram whose adjacent sides are represented by the vectors

\overrightarrow a

and

\overrightarrow b

is

8\sqrt 3

square units, then

\overrightarrow a

.

\overrightarrow b

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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