Cauchy-Schwarz Inequality | Overview & Applications
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Cauchy-Schwarz Inequality | Overview & Applications
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Cauchy-Schwarz Inequality The definition 𝐮 ·𝐯=|𝐮||𝐯| cosθimplies that |𝐮 ·𝐯| ≤|𝐮||𝐯| (because |cosθ| ≤1 ). This inequality, known as the Cauchy-Schwarz Inequality, holds in any number of dimensions and has many consequences. Verify that the Cauchy-Schwarz Inequality holds for 𝐮=⟨3,-5,6⟩and 𝐯=⟨-8,3,1⟩ | Numerade
Cauchy-Schwarz Inequality The definition 𝐮 ·𝐯=|𝐮||𝐯| cosθimplies that |𝐮 ·𝐯| ≤|𝐮||𝐯| (because |cosθ| …
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