If and are nonzero vectors, is it possible for both to be

Problem 19DQ Chapter 1

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 19DQ

If and are nonzero vectors, is it possible for both to be zero? Explain.

Step-by-Step Solution:

Solution 19DQ Step 1 of 4 Dot product of two vectors is given by, A . B = | || |s Where is the angle between two vectors A and B Cross product of two vectors is given by A × B = A| || | Where is the angle between two vectors A and B Step 2 of 4 For nonzero vectors; in order to have dot product to be zero , the vectors must be orthogonal(perpendicular) to each other so that the angle between them is 90 as shown below, 0 In such case, cos 90 =0, resulting in A . B = 0 0 but sin 90 =1 therefore A × B = A B | || |

Step 3 of 4

Chapter 1, Problem 19DQ is Solved

Step 4 of 4

Textbook: University Physics

Edition: 13

Author: Hugh D. Young, Roger A. Freedman

ISBN: 9780321675460

The full step-by-step solution to problem: 19DQ from chapter: 1 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 19DQ from 1 chapter was answered, more than 248 students have viewed the full step-by-step answer. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: both, explain, nonzero, vectors, Zero. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “If and are nonzero vectors, is it possible for both to be zero? Explain.” is broken down into a number of easy to follow steps, and 14 words.