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Vector Algebra question

2009 · Shift 1 · Q24

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2009 · Shift 1 · Q24

Vector Algebra question

2009 · Shift 1 · Q24

JEE AdvancedMathematicsVector AlgebraMCQ+3 / −1

If

\overrightarrow a ,\overrightarrow b ,\overrightarrow c

and

\overrightarrow d

are unit vectors such that

(\overrightarrow a \times \overrightarrow b )\,.\,(\overrightarrow c \times \overrightarrow d ) = 1

and

\overrightarrow a \,.\,\overrightarrow c = {1 \over 2}

, then

A
$\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c$ are non-coplanar
B
$\overrightarrow b \,,\,\overrightarrow c ,\overrightarrow d$ are non-coplanar
C
$\overrightarrow b \,,\overrightarrow d$ are non-parallel
D
$\overrightarrow a ,\overrightarrow d$ parallel and $\overrightarrow b ,\overrightarrow c$ are parallel

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