Let \( \mathrm{O} \) be the origin, and \( \overrightarrow{O X}, \o...

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Let \( \mathrm{O} \) be the origin, and \( \overrightarrow{O X}, \overrightarrow{O Y}, \overrightarrow{O Z} \) be three unit vectors in the directions of the sides \( \overrightarrow{Q R}, \overrightarrow{R P}, \overrightarrow{P Q} \)
P respectively, of a triangle \( P Q R \).

W) \( |\overrightarrow{O X} \times \overrightarrow{O Y}|= \)
[JEE Advanced-2017]
(a) \( \sin (\mathrm{P}+\mathrm{Q}) \)
(b) \( \sin (\mathrm{P}+\mathrm{R}) \)
(c) \( \sin (\mathrm{Q}+\mathrm{R}) \)
(d) \( \sin ^{2} \mathrm{R} \)
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