# Vector

Geometry Level 3

The coordinates of $$A, B$$ and $$C$$ are $$(1,2), (7,1)$$ and $$(15,9)$$, respectively. $$O$$ is the origin and $$\overrightarrow{OC}\,=\,h\overrightarrow{OA}\,+\,k\overrightarrow{OB}$$, where $$h$$ and $$k$$ are constants. If $$h+k$$ can be expressed as $$\dfrac{m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers, find $$m+n$$.

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