# Beginner Vector Geometry #3

Geometry Level pending

Let $$\theta$$ be the angle formed by two vectors $$\overrightarrow{a}=(3,~-4)$$ and $$\overrightarrow{b}=(15,~8)$$.

Then $$\cos\theta=\dfrac{q}{p}$$.

Given that $$0<\theta<\dfrac{\pi}{2}$$, and $$p,~q$$ are coprime integers, find the value of $$p+q$$.

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

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