Angle Bisector Vector

Theorem
Let $\mathbf u$ and $\mathbf v$ be vectors of non-zero length.

Let $\norm {\mathbf u}$ and $\norm {\mathbf v}$ be their respective lengths.

Then $\norm {\mathbf u} \mathbf v + \norm {\mathbf v} \mathbf u$ is the angle bisector of $\mathbf u$ and $\mathbf v$.