Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors = (a, b) and v = (cos 0, sin 0) to show that |a cos 0 + b sin 0|² < a² + b². u = %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 67E
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Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors u = (a, b) and v = (cos θ, sin θ) to show that | a cos θ + b sin θ |2 ≤a2 + b2.

Note: Do not skip any step to arrive at the result, apply the Cauchy Schwarz inequality to arrive at the result (In the image the enunicoado is better seen)

Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors
u = (a, b) and v = (cos 0, sin 0) to show that |a cos 0 + b sin 0|² sa² + b².
Transcribed Image Text:Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors u = (a, b) and v = (cos 0, sin 0) to show that |a cos 0 + b sin 0|² sa² + b².
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