Let $O$ be the origin, and $- - \to O X, - - \to O Y, - - \to O Z$ be three unit vectors in the directions of the sides $- - \to Q R, - - \to R P, - - \to P Q,$ respectively, of a triangle $P Q R .$

$| - - \to O X \times - - \to O Y | =$

sin (P + Q)

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sin 2 R

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sin (P + R)

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sin (Q + R)

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Solution

The correct option is A $sin (P + Q)$
$| - - \to O X \times - - \to O Y | = | - - \to O X | | - - \to O Y | sin (R) = sin (π - R) = sin (P + Q)$

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