Notes
parallelogram identity

Parallelogram Identity

The parallelogram identity says that for vectors u\vec{u} and v\vec{v} then the length \|\cdot\| satisfies:

u+v+uv=2u+2v \|\vec{u} + \vec{v}\| + \|\vec{u} - \vec{v}\| = 2 \|\vec{u}\| + 2\|\vec{v}\|