# arrow_back What does the Theorem of Pythagoras in $R^n$ state?

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What does the Theorem of Pythagoras in $R^n$ state?

If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then $$\|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2}$$
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