The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v| (because cos 0 ≤ 1). This inequality holds in any number of dimensions and has many consequences. What conditions on u and v lead to equality in the Cauchy-Schwarz inequality? Choose the correct answer below. A. The two vectors u and v are perpendicular. B. The two vectors u and v are parallel. C. Either u= 0 or v=0.
The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v| (because cos 0 ≤ 1). This inequality holds in any number of dimensions and has many consequences. What conditions on u and v lead to equality in the Cauchy-Schwarz inequality? Choose the correct answer below. A. The two vectors u and v are perpendicular. B. The two vectors u and v are parallel. C. Either u= 0 or v=0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 23E
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![The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v| (because cos 0 ≤ 1).
This inequality holds in any number of dimensions and has many consequences.
What conditions on u and v lead to equality in the Cauchy-Schwarz inequality?
Choose the correct answer below.
O A. The two vectors u and v are perpendicular.
B. The two vectors u and v are parallel.
C. Either u = 0 or v=0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ade5d6c-ff37-4df2-b1de-522b52697cc9%2F6fc59574-9366-4404-a83f-4eb240e10efa%2Fp1amrvo_processed.png&w=3840&q=75)
Transcribed Image Text:The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v| (because cos 0 ≤ 1).
This inequality holds in any number of dimensions and has many consequences.
What conditions on u and v lead to equality in the Cauchy-Schwarz inequality?
Choose the correct answer below.
O A. The two vectors u and v are perpendicular.
B. The two vectors u and v are parallel.
C. Either u = 0 or v=0.
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