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 ||

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 47EQ

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