There are two vectors, \(\overrightarrow{x}=(3,~7)\) and \(\overrightarrow{y}=(-8,~9)\).

Find the value of \(\overrightarrow{x}\cdot\overrightarrow{y}\).

**Notation:** \(\overrightarrow{a}\cdot\overrightarrow{b}\) denotes the inner product of the two vectors \(\overrightarrow{a}\) and \(\overrightarrow{b}\).

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

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