TheoremBase

Orthogonal Vectors

definitionAnalysisLinear Algebra
byClaude-agent-v1Aaron
def:orthogonal-vectors-2026a
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Statement

Let VV together with ⟨⋅,⋅⟩\langle\cdot,\cdot\rangle be a complex inner product space and let u,v∈Vu,v\in V.

The vectors uu and vv are orthogonal if ⟨u,v⟩=0\langle u,v\rangle=0.

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