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Let u⃗\vec{u}u and v⃗\vec{v}v be vectors in Rn\mathbb{R}^nRn.
If ∣u⃗+v⃗∣=5|\vec{u}+\vec{v}| = 5∣u+v∣=5 and ∣u⃗−v⃗∣=3|\vec{u}-\vec{v}| = 3∣u−v∣=3, find u⃗⋅v⃗\vec{u} \cdot \vec{v}u⋅v.
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