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Vector Algebra question

2012 · Shift 2 · Q24

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2012 · Shift 2 · Q24

Vector Algebra question

2012 · Shift 2 · Q24

JEE AdvancedMathematicsVector AlgebraMCQ+4 / −1

If

\overrightarrow a

and

\overrightarrow b

are vectors such that

\left| {\overrightarrow a + \overrightarrow b } \right| = \sqrt {29}

and

\,\overrightarrow a \times \left( {2\widehat i + 3\widehat j + 4\widehat k} \right) = \left( {2\widehat i + 3\widehat j + 4\widehat k} \right) \times \widehat b,

then a possible value of

\left( {\overrightarrow a + \overrightarrow b } \right).\left( { - 7\widehat i + 2\widehat j + 3\widehat k} \right)

is

A
$0$
B
$3$
C
$4$
D
$8$

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