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Vector Algebra question

2011 · Shift 1 · Q38

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2011 · Shift 1 · Q38

Vector Algebra question

2011 · Shift 1 · Q38

JEE AdvancedMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i + \widehat j + \widehat k,\,\overrightarrow b = \widehat i - \widehat j + \widehat k

and

\overrightarrow c = \widehat i - \widehat j - \widehat k

be three vectors. A vector

\overrightarrow v

in the plane of

\overrightarrow a

and

\overrightarrow b ,

whose projection on

\overrightarrow c

is

{{1 \over {\sqrt 3 }}}

, is given by

A
$\widehat i - 3\widehat j + 3\widehat k$
B
$-3\widehat i - 3\widehat j - \widehat k$
C
$3\widehat i - \widehat j + 3\widehat k$
D
$\widehat i + 3\widehat j - 3\widehat k$

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