Consider the Euclidean inner product space R³ with a basis B= 3 Find an orthonormal basis of R³. O A {} OB. 1 √3 1 √6 OE. None in the given list 1 1 (1.-2,1), (0. 1 Oc{(1,1,1), To (0,0,1), √6 OD.S (1,1,1), (0, – 1, − 1), (0,1,0)} 1 1 2 (0.-1.1)} (-2,1,1),(0,-1,1)} {(1,1,1),(0,1,1),(0,0,1)).

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the Euclidean inner product space R³ with a basis B={(1,1,1),(0,1,1),(0,0,1)).
Find an orthonormal basis of R³.
O A {}
OB. ¹(1, -2, 1),
√3
(0,-1,-1). (0,1,0))
V6
Oc{(1,1,1),(0,0,1),(0,-1,1))
√2
2
O D.
00. {(1,1.1). / (−2,1,1),
√6
O E. None in the given list
1
1), (0.-1.1)}
52
Transcribed Image Text:Consider the Euclidean inner product space R³ with a basis B={(1,1,1),(0,1,1),(0,0,1)). Find an orthonormal basis of R³. O A {} OB. ¹(1, -2, 1), √3 (0,-1,-1). (0,1,0)) V6 Oc{(1,1,1),(0,0,1),(0,-1,1)) √2 2 O D. 00. {(1,1.1). / (−2,1,1), √6 O E. None in the given list 1 1), (0.-1.1)} 52
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