\( A B C \) is an equilateral triangle with \( O \) as its centre. \( \vec{F}_{1}, \vec{F}_{2} \...

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\( A B C \) is an equilateral triangle with \( O \) as its centre. \( \vec{F}_{1}, \vec{F}_{2} \) and \( \vec{F}_{3} \) represent three forces acting along the sides \( A B, B C \) and \( A C \) respectively. If the total torque about \( O \) is zero then the magnitude of \( \vec{F}_{3} \) is
[CBSE PMT (Pre.) 2012]
(a) \( F_{1}+F_{2} \)
(b) \( F_{1}-F_{2} \)
(c) \( \frac{F_{1}+F_{2}}{2} \)
(d) \( 2\left(F_{1}+F_{2}\right) \)
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