Homework Help is Here – Start Your Trial Now!
Science
Physics
13. (a) Show that i (b) Show that i . j = jk = k i = 0. i=j j = k·k = 1.

13. (a) Show that i (b) Show that i . j = jk = k i = 0. i=j j = k·k = 1.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

13

12.3 EXERCISES 1. Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a b) c ● (c) a (b c) (e) a b + c ● ● ● (b) (a - b)c (d) a (b + c) ● (f) a (b + c) ● 2-10 Find a b. 2. a = (5,-2), b = (3, 4) 3. a = (1.5, 0.4), b = (-4, 6) 4. a = (6, -2, 3), b = (2, 5, -1) 5. a =(4, 1, 1), b = (6, -3, -8) 6. a = (p, -p, 2p), b = (2q, q, -q) 7. a = 2i+j, b=i-j+ k 8. a = 3i+2j - k, b = 4i + 5k 9. |a| = 7, |b|= 4, the angle between a and b is 30° 10. |a| = 80, b = 50, the angle between a and b is 37/4 sin nailsolo #RO-M $1 18 B * PI 11-12 If u is a unit vector, find u v and u w. 11. 12. entziq mi ziong dam 21:00 U W V 13. (a) Show that i ● (b) Show that i W j j k = k·i = 0. jj.kk ● i=j j = k·k = 1. 14. A street vendor sells a hamburgers, b hot dogs, and c soft drinks on a given day. He charges $4 for a hamburger, $2.50 for a hot dog, and $1 for a soft drink. If A = (a, b, c) and vodi naitw vino z p= (4, 2.5, 1), what is the meaning of the dot product A P? P 15-20 Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) 15. a = (4,3), b = (2, -1) 16. a = (-2,5), b = (5, 12)
Transcribed Image Text:12.3 EXERCISES 1. Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a b) c ● (c) a (b c) (e) a b + c ● ● ● (b) (a - b)c (d) a (b + c) ● (f) a (b + c) ● 2-10 Find a b. 2. a = (5,-2), b = (3, 4) 3. a = (1.5, 0.4), b = (-4, 6) 4. a = (6, -2, 3), b = (2, 5, -1) 5. a =(4, 1, 1), b = (6, -3, -8) 6. a = (p, -p, 2p), b = (2q, q, -q) 7. a = 2i+j, b=i-j+ k 8. a = 3i+2j - k, b = 4i + 5k 9. |a| = 7, |b|= 4, the angle between a and b is 30° 10. |a| = 80, b = 50, the angle between a and b is 37/4 sin nailsolo #RO-M $1 18 B * PI 11-12 If u is a unit vector, find u v and u w. 11. 12. entziq mi ziong dam 21:00 U W V 13. (a) Show that i ● (b) Show that i W j j k = k·i = 0. jj.kk ● i=j j = k·k = 1. 14. A street vendor sells a hamburgers, b hot dogs, and c soft drinks on a given day. He charges $4 for a hamburger, $2.50 for a hot dog, and $1 for a soft drink. If A = (a, b, c) and vodi naitw vino z p= (4, 2.5, 1), what is the meaning of the dot product A P? P 15-20 Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) 15. a = (4,3), b = (2, -1) 16. a = (-2,5), b = (5, 12)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Power
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS