Let \( p \) and \( q \) be the position vectors of \( P \) and \( Q...

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Let \( p \) and \( q \) be the position vectors of \( P \) and \( Q \)
\( \mathrm{P} \) respectively with respect to \( O \) and \( |p|=p,|q|=q \).

W The points \( R \) and \( S \) divide \( P Q \) internally and externally in the ratio \( 2: 3 \) respectively. If \( \overrightarrow{O R} \) and \( \overrightarrow{O S} \) are perpendicular, then
(1) \( 9 p^{2}=4 q^{2} \)
(2) \( 4 p^{2}=9 q^{2} \)
(3) \( 9 p=4 q \)
(4) \( 4 p=9 q \)
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