Definition: Dot product
The dot product of two vectors $u$ and $v$ in $\mathbb{R}^n$ is defined as:
\[u \cdot v = u_{1}v_{1} + \dots + u_{n}v_{n}.\]Another common notation for the dot product is \(\langle u, v \rangle\).
The dot product of two vectors $u$ and $v$ in $\mathbb{R}^n$ is defined as:
\[u \cdot v = u_{1}v_{1} + \dots + u_{n}v_{n}.\]Another common notation for the dot product is \(\langle u, v \rangle\).