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Given that \( \mathrm{P}=\mathrm{Q}=\mathrm{R} \). If \( \overrightarrow{\mathrm{P}}+\overrightarrow{\mathrm{Q}}=\overrightarrow{\mathrm{R}} \) then the angle between \( \overrightarrow{\mathrm{P}} \& \overrightarrow{\mathrm{R}} \) is \( \theta_{1} \). If \( \overrightarrow{\mathrm{P}}+\overrightarrow{\mathrm{Q}}+\overrightarrow{\mathrm{R}}=\overrightarrow{0} \) then the angle between \( \overrightarrow{\mathrm{P}} \& \overrightarrow{\mathrm{R}} \) is \( \theta_{2} \). What is the relation between \( \theta_{1} \) and \( \theta_{2} \) ?
(1) \( \theta_{1}=\theta_{2} \)
(2) \( \theta_{1}=\frac{\theta_{2}}{2} \)
(3) \( \theta_{1}=2 \theta_{2} \)
(4) None of the above
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