Two vectors A and B in three dimensional space are expressed by their coordinates (2, 4, – 5) and (1, 2, 3) respectively. a) Write down the two vectors A and B in unit vector notations. b) Find the angles which the vector A = (2, 4, – 5) makes with the -x, +y and +z axes. c) Find the projection of the vector C = (2, 3, 1) in the perpendicular direction to the vector B = (1, 2, 3).
Two vectors A and B in three dimensional space are expressed by their coordinates (2, 4, – 5) and (1, 2, 3) respectively. a) Write down the two vectors A and B in unit vector notations. b) Find the angles which the vector A = (2, 4, – 5) makes with the -x, +y and +z axes. c) Find the projection of the vector C = (2, 3, 1) in the perpendicular direction to the vector B = (1, 2, 3).
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.8P
Related questions
Question
Two vectors A and B in three dimensional space are expressed by their coordinates (2, 4, – 5)
and (1, 2, 3) respectively.
a) Write down the two vectors A and B in unit vector notations.
b) Find the angles which the vector A = (2, 4, – 5) makes with the -x, +y and +z axes.
c) Find the projection of the vector C = (2, 3, 1) in the perpendicular direction to the vector B =
(1, 2, 3).
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 3 steps
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
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
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
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
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
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning