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Vector Algebra question

2011 · Shift 0 · Q35

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2011 · Shift 0 · Q35

Vector Algebra question

2011 · Shift 0 · Q35

JEE MainMathematicsVector AlgebraMCQ+4 / −1

The vectors

\overrightarrow a

and

\overrightarrow b

are not perpendicular and

\overrightarrow c

and

\overrightarrow d

are two vectors satisfying

\overrightarrow b \times \overrightarrow c = \overrightarrow b \times \overrightarrow d

and

\overrightarrow a .\overrightarrow d = 0\,\,.

Then the vector

\overrightarrow d

is equal to :

A
$\overrightarrow c + \left( {{{\overrightarrow a .\overrightarrow c } \over {\overrightarrow a .\overrightarrow b }}} \right)\overrightarrow b$
B
$\overrightarrow b + \left( {{{\overrightarrow b .\overrightarrow c } \over {\overrightarrow a .\overrightarrow b }}} \right)\overrightarrow c$
C
$\overrightarrow c - \left( {{{\overrightarrow a .\overrightarrow c } \over {\overrightarrow a .\overrightarrow b }}} \right)\overrightarrow b$
D
$\overrightarrow b - \left( {{{\overrightarrow b .\overrightarrow c } \over {\overrightarrow a .\overrightarrow b }}} \right)\overrightarrow c$

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