Theorem 12.6.11 (Pythagorean Theorem).label Let $H$ be an inner product space over $K \in \RC$ and $\seqf{x_j}\subset H$ be pairwise orthogonal, then
\[\norm{\sum_{j = 1}^n x_j}_{H}^{2} = \sum_{j = 1}^{n} \norm{x_j}_{H}^{2}\]
Theorem 12.6.11 (Pythagorean Theorem).label Let $H$ be an inner product space over $K \in \RC$ and $\seqf{x_j}\subset H$ be pairwise orthogonal, then
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