Two vectors Á and B have precisely equal mag-nitudes. For the magnitude of A + B to be 100 times largerthan the magnitude of Á – B, what must be the anglebetween them?

Answered: Image /qna-images/answer/8f8724a8-d0df-4bcc-8074-3a05aa241f44.jpg

Answered: Two vectors Á and B have precisely…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 61P

See similar textbooks

Similar questions

Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
If one of the two components of a vector is not zero, can the magnitude of the other vector component of this vector be zero?
Check Your Understanding If the displacement vector of a blue fly walking on a sheet of graph paper is D=(5.00 i3.00 j)cm , find Its magnitude and direction.
If two vectors have the same magnitude, do their components have to be the same?
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
Check Your Understanding If the average velocity vector of the drone In the displacement in Example 2.7 is u=(15.0i+31.7j +2.5k)m/s , what is the magnitude of the drone’s velocity vector?
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Can a magnitude of a vector be negative?

SEE MORE QUESTIONS

Recommended textbooks for you

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

SEE MORE TEXTBOOKS

Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times larger than the magnitude of Á – B, what must be the angle between them?