Verify the Cauchy-Schwarz Inequality for the vectors. u = (3, 9), v = (8, -2) Calculate the following values. |u- v| = V161 |lu|| = V 90 ||v|| = V 68 We draw the following conclusion. Since Ju · v| < ||u||· ||v||, we can v verify that the Cauchy-Schwarz Inequality for the vectors holds for these vectors.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Verify the Cauchy-Schwarz Inequality for the vectors.
u = (3, 9), v = (8, –2)
Calculate the following values.
|u• v|
V 161
||u||
06 A
||||
V 68
We draw the following conclusion.
Since |u · v| <
||u || · ||v||, we | can
verify that the Cauchy-Schwarz Inequality for the vectors holds for these vectors.
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Transcribed Image Text:Verify the Cauchy-Schwarz Inequality for the vectors. u = (3, 9), v = (8, –2) Calculate the following values. |u• v| V 161 ||u|| 06 A |||| V 68 We draw the following conclusion. Since |u · v| < ||u || · ||v||, we | can verify that the Cauchy-Schwarz Inequality for the vectors holds for these vectors. Need Help? Read It
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