Choosing a division point

Choosing a division point

6 marks
TGM Original
In triangle OAB, AP:PB=2:3, with P on AB. Point M lies on OA, and OP meets BM at X. Given OX:XP=3:1, find OM:MA. Use a non-parallel basis a= OA, b= OB.

Solution:

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Answer:\(OM:MA=9:5\)

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