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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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$[\overrightarrow a\:\:\overrightarrow b\:\:\overrightarrow a\times\overrightarrow b]$=?

$\begin{array}{1 1} \overrightarrow a.\overrightarrow b \\ 0 \\ |\overrightarrow a\times\overrightarrow b|^2 \\ |\overrightarrow a\times\overrightarrow b| \end{array} $

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  • $[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]=(\overrightarrow a\times\overrightarrow b).\overrightarrow c$
  • $\overrightarrow a.\overrightarrow a=|\overrightarrow a|^2$
$[\overrightarrow a\:\overrightarrow b\:\overrightarrow a\times\overrightarrow b]=(\overrightarrow a\times\overrightarrow b).(\overrightarrow a\times\overrightarrow b)$
$=|\overrightarrow a\times\overrightarrow b|^2$
answered Oct 29, 2013 by rvidyagovindarajan_1

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