2) Consider the two vectors A = A,î+ A,f and B = B,î+ Byj. If î i= j.j = 1 and%3D%3Dij= j-i = 0, prove algebraically that A · B = A,B, + A,By.%3D

Given values:- A→=Axi^+Ayj^ ------(1) B→=Bxi^+Byj^ ------(2) i^.i^=j^.j^=1 ------(3) i^.j^=j^.i^=0…

Answered: i.j%3Dj-i%3D0, prove algebraically that…

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i.j%3Dj-i%3D0, prove algebraically that Ả · B = A,B, + A,By.

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 1.16P: What surface is represented by r a = const, that is described if a is a vector of constant...

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2) Consider the two vectors A = A,î+ A,f and B = B,î+ Byj. If î i= j.j = 1 and
%3D
%3D
ij= j-i = 0, prove algebraically that A · B = A,B, + A,By.
%3D

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Can u help me with part b
2) Consider the two vectors Ã = Agî + Ayĵ and B = Bzî + Byf. If î · î = ĵ • j = 1 and î ·j = j • î = 0, prove algebraically that Ã · B = A,Bx + A,By.
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