Why using $v^T \cdot u\text{ instead of simply } v \cdot u$?

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I know they are equivalent, but why and when should we prefer using $v^T \cdot u$ instead of simply $v \cdot u$, when $v$ and $u$ are vectors of $\mathbb{R}^m$, for example?

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It tells you things like $(Au)\cdot v = u \cdot (A^Tv)$