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Following the definition of orthogonality, the Pythagorean Theorem for vectors becomes: <MATH>{\left \| u + v \right \|}^2 = {\left \| u \right \|}^2 + {\left \| v \right \|}^2</MATH>
Linear Algebra - Pythagorean Theorem
Following the definition of orthogonality, the Pythagorean Theorem for vectors becomes: <MATH>{\left \| u + v \right \|}^2 = {\left \| u \right \|}^2 + {\left \| v \right \|}^2</MATH>