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Vector Algebra question

2020 · 9 Jan · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 9 Jan · Shift 2 · Q29

Vector Algebra question

2020 · 9 Jan · Shift 2 · Q29

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a

,

\overrightarrow b

and

\overrightarrow c

be three vectors such that

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

,

\left| {\overrightarrow b } \right| = 5,\overrightarrow b .\overrightarrow c = 10

and the angle between

\overrightarrow b

and

\overrightarrow c

is

{\pi \over 3}

. If

{\overrightarrow a }

is perpendicular to the vector

\overrightarrow b \times \overrightarrow c

, then

\left| {\overrightarrow a \times \left( {\overrightarrow b \times \overrightarrow c } \right)} \right|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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