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Question
Let $\overrightarrow a $ and $\overrightarrow b $ be two unit vectors. If the vectors $\,\overrightarrow c = \widehat a + 2\widehat b$ and $\overrightarrow d = 5\widehat a - 4\widehat b$ are perpendicular to each other, then the angle between $\overrightarrow a $ and $\overrightarrow b $ is :
${\pi \over 6}$
${\pi \over 2}$
${\pi \over 3}$
${\pi \over 4}$

Solution

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