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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Question
question2
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef846101-6a90-4592-970d-1c28c0e92b06%2F586c54ac-c4f1-43ed-a78a-a9b953184099%2Fzfvllzo_processed.jpeg&w=3840&q=75)
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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