# Beginner Vector Geometry #6

Geometry Level pending

Two circles $$C_1$$, $$C_2$$ with radii 3 and 5 and with centers $$O_1$$ and $$O_2$$ are tangent to each other.

There is a moving point $$P$$ on the circle $$C_2$$.

Find the maximum of $$\overrightarrow{O_1P}\cdot\overrightarrow{O_2P}$$.

This problem is a part of <Beginner Vector Geometry> series.

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