11. Suppose that C3 is equipped with the standard inner product. Show that the vectors v = (i, i, 1+i) and u = 6 - 2 (3+3i, 1+ i. 4) are mutually orthogonal unit vectors and find an orthonormal basis for C3 which contains them.
11. Suppose that C3 is equipped with the standard inner product. Show that the vectors v = (i, i, 1+i) and u = 6 - 2 (3+3i, 1+ i. 4) are mutually orthogonal unit vectors and find an orthonormal basis for C3 which contains them.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 10E
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Question
![11. Suppose that C3 is equipped with the standard inner product. Show that the vectors
v = (i, i, 1+i) and u =
6
-
2
(3+3i, 1+ i. 4) are mutually orthogonal unit vectors and find
an orthonormal basis for C3 which contains them.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7859f2cb-ba04-461f-bd17-7d64761405b3%2F15af72f0-5438-4693-9b38-684283cffd92%2F7u7jbsn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. Suppose that C3 is equipped with the standard inner product. Show that the vectors
v = (i, i, 1+i) and u =
6
-
2
(3+3i, 1+ i. 4) are mutually orthogonal unit vectors and find
an orthonormal basis for C3 which contains them.
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