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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Vector Algebra
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Q)

If $\overrightarrow a\:\:and\:\:\overrightarrow b$ are two unit vectors, then $\overrightarrow a\times\overrightarrow b$ is also a unit vector if ?

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A)
Given: $|\overrightarrow a|=|\overrightarrow b|=|\overrightarrow a\times\overrightarrow b|=1$
$\Rightarrow\:1=sin\theta$ where $\theta$ is angle between $\overrightarrow a\:\: and\:\:\overrightarrow b$
$\Rightarrow\:\theta=\large\frac{\pi}{2}$
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