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The scalar component of A in the direction of B The vector projection of A in the direction of B and A unit vector perpendicular to both A and B.     Repeat the above solution if the two vectors A and B given at a point P(r, Ɵ, Φ) in space reduced by 30 percent.

The scalar component of A in the direction of B The vector projection of A in the direction of B and A unit vector perpendicular to both A and B.     Repeat the above solution if the two vectors A and B given at a point P(r, Ɵ, Φ) in space reduced by 30 percent.

Classical Dynamics of Particles and Systems
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
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a.

Two vectors A and B are given at a point P(r, Ɵ, Φ) in space as

A = 10ar + 30aƟ – 10a Φ

B = 3ar + 10aƟ – 20a Φ

 

  1. The scalar component of A in the direction of B
  2. The vector projection of A in the direction of B and
  • A unit vector perpendicular to both A and B.

 

 

  1. Repeat the above solution if the two vectors A and B given at a point P(r, Ɵ, Φ) in space reduced by 30 percent.

 

 

  1. Discuss the differences in solution a and b above.

 

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