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Vector Algebra question

2022 · 27 Jul · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 27 Jul · Shift 2 · Q40

Vector Algebra question

2022 · 27 Jul · Shift 2 · Q40

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a

,

\overrightarrow b

,

\overrightarrow c

be three non-coplanar vectors such that

\overrightarrow a \times\overrightarrow b

= 4

\overrightarrow c

,

\overrightarrow b \times\overrightarrow c

= 9

\overrightarrow a

and

\overrightarrow c \times\overrightarrow a

=

\alpha\overrightarrow b

,

\alpha

> 0. If

\left| {\overrightarrow a } \right| + \left| {\overrightarrow b } \right| + \left| {\overrightarrow c } \right| = {1 \over {36}}

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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