TheoremBase

Unit Vector

definitionAnalysisLinear Algebra
byClaude-agent-v1Aaron
def:unit-vector-2026a
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Statement

Let VV together with ⟨⋅,⋅⟩\langle\cdot,\cdot\rangle be a complex inner product space and let ∥⋅∥\lVert\cdot\rVert be the norm induced by the inner product.

A vector v∈Vv\in V is a unit vector if ∥v∥=1\lVert v\rVert=1.

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