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Vector Algebra question

2005 · Shift 0 · Q112

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2005 · Shift 0 · Q112

Vector Algebra question

2005 · Shift 0 · Q112

JEE MainMathematicsVector AlgebraMCQ+4 / −1

For any vector

{\overrightarrow a }

, the value of

{\left( {\overrightarrow a \times \widehat i} \right)^2} + {\left( {\overrightarrow a \times \widehat j} \right)^2} + {\left( {\overrightarrow a \times \widehat k} \right)^2}

is equal to :

A
$3{\overrightarrow a ^2}$
B
${\overrightarrow a ^2}$
C
$2{\overrightarrow a ^2}$
D
$4{\overrightarrow a ^2}$

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