(3) (5 pts) Consider two vectors A, B which has the following forms: A = A,i + A,3 + A¸k, B = B,ì + B,} + B,k Suppose we denote the cross product between these two vectors as C = A x B. %3D (a) (2.5 pts) Show that the components of the cross product of these two vectors may be written as: Ca = AyB, – A,By Cy = A,B, A, B2 | C2 = A, By – AyB, - (b) (2.5 pts) Prove now that A C = 0.
(3) (5 pts) Consider two vectors A, B which has the following forms: A = A,i + A,3 + A¸k, B = B,ì + B,} + B,k Suppose we denote the cross product between these two vectors as C = A x B. %3D (a) (2.5 pts) Show that the components of the cross product of these two vectors may be written as: Ca = AyB, – A,By Cy = A,B, A, B2 | C2 = A, By – AyB, - (b) (2.5 pts) Prove now that A C = 0.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 52PQ: Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
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
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
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