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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
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If $|\overrightarrow a|=3,\:|\overrightarrow b|=\large\frac{\sqrt 2}{3}$, then $\overrightarrow a\times\overrightarrow b$ is a unit vector if the angle between $\overrightarrow a$ and $\overrightarrow b$ is ?

$\begin{array}{1 1} \large\frac{\pi}{6} \\ \large\frac{\pi}{4} \\ \large\frac{\pi}{3} \\ \large\frac{\pi}{2} \end{array} $

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1 Answer

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$|\overrightarrow a\times\overrightarrow b|=|\overrightarrow a||\overrightarrow b| sin\theta$
$1=3.\large\frac{\sqrt 2}{3}$.$sin\theta$
$\Rightarrow\:sin\theta=\large\frac{1}{\sqrt 2}$
answered Nov 8, 2013 by rvidyagovindarajan_1

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