Consider the following vectors:u = (1, −2, −1),v = (-2, 1, 8)Without using the cross product, find a vector n which is orthogonal to both u and U. You need to use a notion fromchapter 5 to set up a system of linear equations, then use RREF to solve the system. Explain why this method works.

To find a vector n=(a,b,c) that is orthogonal to both u and v without using the cross product, we…

Answered: Consider the following vectors: u = (1,…

Algebra and Trigonometry (6th Edition)

6th Edition

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 following vectors: u = (1, −2, −1), v = (-2, 1, 8) Without using the cross product, find a vector n which is orthogonal to both u and U. You need to use a notion from chapter 5 to set up a system of linear equations, then use RREF to solve the system. Explain why this method works.