The magnitude of vectors \( \overrightarrow{O A}, \overrightarrow{O...

The magnitude of vectors \( \overrightarrow{O A}, \overrightarrow{O B} \) and \( \overrightarrow{O C} \) in the given figure are equal. The direction of \( \overrightarrow{O A}+\overrightarrow{O B}-\overrightarrow{O C} \) with
\( \mathrm{P} \) \( x \)-axis will be :
[JEE Main-2021 (August)]
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(a) \( \tan ^{-1} \frac{(1-\sqrt{3}-\sqrt{2})}{(1+\sqrt{3}+\sqrt{2})} \)
(b) \( \tan ^{-1} \frac{(\sqrt{3}-1+\sqrt{2})}{(1+\sqrt{3}-\sqrt{2})} \)
Plejsics Walla
(c) \( \tan ^{-1} \frac{(\sqrt{3}-1+\sqrt{2})}{(1-\sqrt{3}+\sqrt{2})} \)
(d) \( \tan ^{-1} \frac{(1+\sqrt{3}-\sqrt{2})}{(1-\sqrt{3}-\sqrt{2})} \)