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Vector Algebra question

2008 · Shift 1 · Q27

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2008 · Shift 1 · Q27

Vector Algebra question

2008 · Shift 1 · Q27

JEE AdvancedMathematicsVector AlgebraMCQ+3 / −1

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors

\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c

such that

\widehat a\,.\,\widehat b = \widehat b\,.\,\widehat c = \widehat c\,.\,\widehat a = {1 \over 2}.

Then, the volume of the parallelopiped is :

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

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