In Exercises 5-6, evaluate the given expression with u= (-2,-1,4,5), v= (3,1, -5,7), and w= (-6,2,1,1). 5. a. ||3u-5v + w|| c. ||- ||u||v|| b. ||3u||5||v|| + ||w|| ทํ m/y

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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Directions: Only solve 5a. Please show every step. Do NOT skip a step as it is hard to follow when steps are skipped.
**Vector Norm Exercises**

In Exercises 5–6, evaluate the given expression with the vectors:

**u** = (-2, -1, 4, 5),  
**v** = (3, 1, -5, 7),  
**w** = (-6, 2, 1, 1).

5.  
a. \( \|\|3\mathbf{u} - 5\mathbf{v} + \mathbf{w}\|\| \)  

b. \( \|\|3\mathbf{u}\|\| - 5\|\|\mathbf{v}\|\| + \|\|\mathbf{w}\|\| \)

c. \( \|\|-\|\|\mathbf{u}\|\|\mathbf{v}\|\| \)
Transcribed Image Text:**Vector Norm Exercises** In Exercises 5–6, evaluate the given expression with the vectors: **u** = (-2, -1, 4, 5), **v** = (3, 1, -5, 7), **w** = (-6, 2, 1, 1). 5. a. \( \|\|3\mathbf{u} - 5\mathbf{v} + \mathbf{w}\|\| \) b. \( \|\|3\mathbf{u}\|\| - 5\|\|\mathbf{v}\|\| + \|\|\mathbf{w}\|\| \) c. \( \|\|-\|\|\mathbf{u}\|\|\mathbf{v}\|\| \)
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