In other words, if we have two vectors $\mathbf{u}=\left\langle u_{1}, u_{2}\right\rangle$ and $\mathbf{v}=\left\langle v_{1}, v_{2}\right\rangle$, their sum $\mathbf{u}+\mathbf{v}$ is given by $\left\langle u_{1}+v_{1}, u_{2}+v_{2}\right\rangle$.
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