43 Show that B={(0, 0, 1), (- 5 then express the vector w vectors in B. 5 ,0), (- 1 7 3 4 5 5 35 7'5 ,0)} is an orthonormal basis for R³, as a linear combination of the basis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 11E
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43
Show that B={(0, 0, 1), (,0),
5'5
then express the vector w=
vectors in B.
1
-
34
--
"
5 5
,0)} is an orthonormal basis for R³,
35
-) as a linear combination of the basis
7'5
Transcribed Image Text:43 Show that B={(0, 0, 1), (,0), 5'5 then express the vector w= vectors in B. 1 - 34 -- " 5 5 ,0)} is an orthonormal basis for R³, 35 -) as a linear combination of the basis 7'5
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