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Q2. Let R? , R3 , and R* have the Euclidean inner product . In each part find the cosine of the angle between u and v. а) и %3D (2,3, —1,0), v %3D (3,6, -2,9) 32 Ramadan Sabra Elements of Functional Analysis Jazan University Department of Mathematics b) u = (2,0,–1,0,7), v = (0,3,0,9,0) с) и %3D (3,—1,0), v %3D (3,6, -2) d) и %3D (3,-1), v%3D (3,6)

Q2. Let R? , R3 , and R* have the Euclidean inner product . In each part find the cosine of the angle between u and v. а) и %3D (2,3, —1,0), v %3D (3,6, -2,9) 32 Ramadan Sabra Elements of Functional Analysis Jazan University Department of Mathematics b) u = (2,0,–1,0,7), v = (0,3,0,9,0) с) и %3D (3,—1,0), v %3D (3,6, -2) d) и %3D (3,-1), v%3D (3,6)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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inner product Find cosine
Q2. Let R? , R³ , and R* have the Euclidean inner product . In each part find the cosine of the angle between u and v. а) и %3D (2,3, —1,0), v %3 (3,6, — 2,9) 32 r. Ramadan Sabra Elements of Functional Analysis Jazan University Department of Mathematics b) u = (2,0, – 1,0,7), v = (0,3,0,9,0) с) и %3D (3,—1,0), v %3D (3,6, —2) d) u = (3,–1), v = (3,6)
Transcribed Image Text:Q2. Let R? , R³ , and R* have the Euclidean inner product . In each part find the cosine of the angle between u and v. а) и %3D (2,3, —1,0), v %3 (3,6, — 2,9) 32 r. Ramadan Sabra Elements of Functional Analysis Jazan University Department of Mathematics b) u = (2,0, – 1,0,7), v = (0,3,0,9,0) с) и %3D (3,—1,0), v %3D (3,6, —2) d) u = (3,–1), v = (3,6)
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