*56. The route followed by a hiker consists of three displacement vec- tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector Č is 35.0° north of west. The hiker ends up back where she started. Therefore, it follows that the resul- tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of (a) vector B and (b) vector C.
*56. The route followed by a hiker consists of three displacement vec- tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector Č is 35.0° north of west. The hiker ends up back where she started. Therefore, it follows that the resul- tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of (a) vector B and (b) vector C.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...
Related questions
Question
![*56. The route followed by a hiker consists of three displacement vec-
tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in
a direction 25.0° north of east. Vector B is not along a measured trail,
but the hiker uses a compass and knows that the direction is 41.0° east
of south. Similarly, the direction of vector Č is 35.0° north of west. The
hiker ends up back where she started. Therefore, it follows that the resul-
tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of
(a) vector B and (b) vector C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec83b3ca-387b-424b-b8b7-38f0df79ac38%2F3e456517-0b81-4c0c-8352-31c06795940d%2Fwq0aj6p.png&w=3840&q=75)
Transcribed Image Text:*56. The route followed by a hiker consists of three displacement vec-
tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in
a direction 25.0° north of east. Vector B is not along a measured trail,
but the hiker uses a compass and knows that the direction is 41.0° east
of south. Similarly, the direction of vector Č is 35.0° north of west. The
hiker ends up back where she started. Therefore, it follows that the resul-
tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of
(a) vector B and (b) vector C.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![Physics for Scientists and Engineers with Modern …](https://www.bartleby.com/isbn_cover_images/9781337553292/9781337553292_smallCoverImage.gif)
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781285737027/9781285737027_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning