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Vector Algebra question

2004 · Shift 0 · Q113

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2004 · Shift 0 · Q113

Vector Algebra question

2004 · Shift 0 · Q113

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a ,\overrightarrow b

and

\overrightarrow c

be non-zero vectors such that

\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overrightarrow c = {1 \over 3}\left| {\overrightarrow b } \right|\left| {\overrightarrow c } \right|\overrightarrow a \,\,.

If

\theta

is the acute angle between the vectors

{\overrightarrow b }

and

{\overrightarrow c },

then

sin\theta

equals :

A
${{2\sqrt 2 } \over 3}$
B
${{\sqrt 2 } \over 3}$
C
${2 \over 3}$
D
${1 \over 3}$

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