3D glasses

Geometry Level 3

Let u\vec{u} and v\vec{v} be vectors in Rn\mathbb{R}^n.

If u+v=5|\vec{u}+\vec{v}| = 5 and uv=3|\vec{u}-\vec{v}| = 3, find uv\vec{u} \cdot \vec{v}.

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