Find an ONB (orthonormal basis) for the following plane in R³ x - 5y + 4z = 0 First, solve the system, then assign parameters s and t to the free variables (in this order), and write the solution in vector form as su + tv. Now normalize u to have norm 1 and call it ū. Then find the component of v orthogonal to the line spanned by u and normalize it, call it ū. Below, enter the components of the vectors ū = [ū1, ū2, ūz]" and ū = [01, ū2, ū3]". and ||
Find an ONB (orthonormal basis) for the following plane in R³ x - 5y + 4z = 0 First, solve the system, then assign parameters s and t to the free variables (in this order), and write the solution in vector form as su + tv. Now normalize u to have norm 1 and call it ū. Then find the component of v orthogonal to the line spanned by u and normalize it, call it ū. Below, enter the components of the vectors ū = [ū1, ū2, ūz]" and ū = [01, ū2, ū3]". and ||
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
Related questions
Question
![Find an ONB (orthonormal basis) for the following plane in R*
I - 5y + 4z = o
First, solve the system, then assign parameters s and t to the free variables (in this order), and write the
solution in vector form as su + tv. Now normalize u to have norm 1 and call it ū. Then find the
component of v orthogonal to the line spanned by u and normalize it, call it ū. Below, enter the
components of the vectors ū = [ū1, ū2, ūz]" and ū = [ū1, 02, õ3]".
and
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Transcribed Image Text:Find an ONB (orthonormal basis) for the following plane in R*
I - 5y + 4z = o
First, solve the system, then assign parameters s and t to the free variables (in this order), and write the
solution in vector form as su + tv. Now normalize u to have norm 1 and call it ū. Then find the
component of v orthogonal to the line spanned by u and normalize it, call it ū. Below, enter the
components of the vectors ū = [ū1, ū2, ūz]" and ū = [ū1, 02, õ3]".
and
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||
||
||
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