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Let `vecp` and `vecq` be the position vectors of P and Q respectively, with respect to O and `|vecq|=p,|vecq|=q`. The points R and S divide line segment PQ internally and externally and externally in the ratio 2:3 respectively. If `bar(QR)`and `bar(OS)` are perpendicular, then:
A. |
`9p^2=4q^2` |
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B. |
`4p^2=9q^2` |
C. |
9p=4q |
D. |
4p=9q |