Inner Product Spaces
3 ORTHOGONALITY 4 Definition 4. Two vectors u,v ∈ V are orthogonal (u⊥v in symbols) if and only if u,v = 0. Note that the zero vector is the only vector that is orthogonal to itself. In fact, the zero vector is orthogonal to all vectors v ∈ V. Theorem 3 (Pythagorean Theorem).
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