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Vector Algebra question

2018 · 16 Apr · Shift 1 · Q68

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JEE Main
Physics
Vector Algebra
2018 · 16 Apr · Shift 1 · Q68

Vector Algebra question

2018 · 16 Apr · Shift 1 · Q68

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow A

=

\left( {\widehat i + \widehat j} \right)

and,

\overrightarrow B = \left( {2\widehat i - \widehat j} \right).

The magnitude of a coplanar vector

\overrightarrow C

such that

\overrightarrow A .\overrightarrow C = \overrightarrow B .\overrightarrow C = \overrightarrow A .\overrightarrow B ,

is given by :

A
$\sqrt {{{10} \over 9}}$
B
$\sqrt {{{5} \over 9}}$
C
$\sqrt {{{20} \over 9}}$
D
$\sqrt {{{9} \over 12}}$

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