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Given two vectors and (a) find the magnitude of each

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 53E Chapter 1

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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1
Problem 53E

Given two vectors and (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference and (c) find the magnitude of the vector difference Is this the same as the magnitude of Explain.

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Solution 53E (a) Given, 2 2 2 Magnitude of vectorA = ( 2.00) + (3.00) + (4.00) Magnitude of vector A = 4 + 9 + 16 Magnitude of vector A = 29 units Similarly, the magnitude of vector (3.00) + (1.00) + ( 3.00) Magnitude of vector B = 9 + 1 + 9 units Magnitude of vector B = 19 units (b) A B = ( 2.00 i + 3.00 j + 4.00 k ) (3.00 i + 1.00 j 3.00 k ) A B = ( 2.00 i 3.00 i ) + (3.00 j 1.00 j ) + (4.00 k ( 3.00 k ) A B = 5.00 i + 2.00 j + 7.00 k (c) The magnitude of the above expression is 2 2 2 | B|= ( 5.00) + (2.00) + (7.00) | | | B|= 25 + 4 + 49 |A B = 78 units | | Now, let us calculate B A. B A = (3.00 i + 1.00 j 3.00 k ) ( 2.00 i + 3.00 j + 4.00 k) B A = 5.00 i 2.00 j 7.00 k The magnitude of the above expression 2 2 2 |B A | (5.00) + ( 2.00) + ( 7.00) |B A = 25 + 4 + 49 | | | | |B A | 78 units Therefore, A B = B A = 78 units | | | | Therefore, both the differences have the same magnitude.

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Chapter 1, Problem 53E is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This full solution covers the following key subjects: magnitude, Vector, difference, Find, vectors. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 53E from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 53E from 1 chapter was answered, more than 318 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “Given two vectors and (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference and (c) find the magnitude of the vector difference Is this the same as the magnitude of Explain.” is broken down into a number of easy to follow steps, and 41 words.

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Given two vectors and (a) find the magnitude of each