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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 ?

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

$|\overrightarrow a\times\overrightarrow b|=|\overrightarrow a||\overrightarrow b| sin\theta$
$1=3.\large\frac{\sqrt 2}{3}$.$sin\theta$
$\Rightarrow\:sin\theta=\large\frac{1}{\sqrt 2}$
$\Rightarrow\:\theta=\large\frac{\pi}{4}$