2. Follow the directions of Exercise 1 using the weighted Euclidean inner product (u, v) = }u,V, + 5u,v, %3|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 16E
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1.
Let R? have the weighted Euclidean inner product
(u, v) = 2u,v1 + 3u,V2
and let u = (1,1), v = (3,2), w = (0, –1), and k = 3. Com-
pute the stated quantities.
a. (u, v)
b. (kv, w)
c. (u + v, w)
d. ||v||
е. d(u, v)
f. ||u – kv||
2. Follow the directions of Exercise 1 using the weighted
Euclidean inner product
<u, v〉 = 글u리1 + SuzU2
Transcribed Image Text:1. Let R? have the weighted Euclidean inner product (u, v) = 2u,v1 + 3u,V2 and let u = (1,1), v = (3,2), w = (0, –1), and k = 3. Com- pute the stated quantities. a. (u, v) b. (kv, w) c. (u + v, w) d. ||v|| е. d(u, v) f. ||u – kv|| 2. Follow the directions of Exercise 1 using the weighted Euclidean inner product <u, v〉 = 글u리1 + SuzU2
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