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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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If $\theta$ is the angle between the vectors $\overrightarrow a$ and $\overrightarrow b$, and $ |\overrightarrow a.\overrightarrow b|=|\overrightarrow a\times\overrightarrow b|$, then $\theta$=?

$\begin{array}{1 1} 0 \\ \large\frac{\pi}{4} \\\large\frac{\pi}{3} \\ \large\frac{\pi}{3} \\ \large\frac{\pi}{2} \end{array} $

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  • $|\overrightarrow a.\overrightarrow b|=|\overrightarrow a||\overrightarrow b|cos\theta$
  • $|\overrightarrow a\times\overrightarrow b|=|\overrightarrow a||\overrightarrow b|sin\theta$
Given:$|\overrightarrow a.\overrightarrow b|=|\overrightarrow a\times \overrightarrow b|$
$\Rightarrow\:|\overrightarrow a||\overrightarrow b|cos\theta=|\overrightarrow a||\overrightarrow b|sin\theta$
answered Oct 28, 2013 by rvidyagovindarajan_1

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