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If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} $ are a right handed triad of mutually perpendicular vectors of magnitude $ a, b , c $ than value of $[\overrightarrow{a} \overrightarrow{b} \overrightarrow{c}]$ is

\[\begin{array}{1 1}(1) a^{2} b^{2} c^{2} &(2)0\\(3)\frac{1}{2} abc&(4)abc \end{array}\]

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Given $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} $ are mutually perpendicular vectors of magnitude a,b,c then
$[\overrightarrow{a} \overrightarrow{b} \overrightarrow{c}] =abc$
Hence 4 is the correct answer.
answered May 13, 2014 by meena.p
 

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