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

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

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