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In the triangle below OA =a and OB=b. M is mid-point of Ab and N is a point on Ob such that ON=1/3OB. AN and OM intersect at P

- Express the following vectors in terms of a and b
- AB
- OM
- AN

- If OP=tOM and AP=sAN, express OP in two different ways hence find the values of t and s.
- State the ratio AN:NP