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7. Assume that is perpendicular to and w. Is perpendicular to every linear combination of and w? Justify your answer.

7. Assume that is perpendicular to and w. Is perpendicular to every linear combination of and w? Justify your answer.

Algebra and Trigonometry (6th Edition)
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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7. Assume that is perpendicular to and w. Is perpendicular to every linear combination of and w? Justify your answer.
Transcribed Image Text:7. Assume that is perpendicular to and w. Is perpendicular to every linear combination of and w? Justify your answer.
Expert Solution
Step 1: Define the problem.

Assume that straight u with rightwards arrow on top is perpendicular to straight v with rightwards arrow on top space and space straight w with rightwards arrow on top.

To determine whether straight u with rightwards arrow on top is perpendicular to every linear combination 

of straight v with rightwards arrow on top space and space straight w with rightwards arrow on top.

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