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Maths-

General

Easy

Question

If $stack a with rightwards arrow on top$ and $stack b with rightwards arrow on top$ are two unit vectors such that ( $stack a with rightwards arrow on top$ + 2 $stack b with rightwards arrow on top$ ) & (5 $stack a with rightwards arrow on top$ – 4 $stack b with rightwards arrow on top$ ) are perpendicular to each other then angle between $stack a with rightwards arrow on top$ and $stack b with rightwards arrow on top$ is-

45°
60°
cos^–1 $(\frac{1}{3})$
cos^–1 $(\frac{2}{7})$

The correct answer is: 60°

( $stack a with ̄ on top$ + 2 $stack b with ̄ on top$ ). (5 $stack a with ̄ on top$ – 4 $stack b with ̄ on top$ ) = 0
 5 – 8 + 6 cos  = 0  cos  = $fraction numerator 1 over denominator 2 end fraction$

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