Let \({\rm{\vec p}}\) and \({\rm{\vec q}}\) be the position vectors of the points P and Q respectively with respect to origin O. The points r and S divide PQ internally and externally respectively in the ratio 2 : 3 If \(\overrightarrow {{\rm{OR}}} \) and \(\overrightarrow {{\rm{OS}}} \) are perpendicular, then which one of the following is correct?
1
9p2 = 4q2
2
4 p2 = 9 q2
3
9p = 4q
4
4p = 9q