Given two vectors A = 4.00į + 7.00į and B = 5.00į - 2.00į . a) find the magnitude of each vector; b) write an expression for the vector difference A - B using unit c) find the magnitude and direction of vector difference A - B; d) In a vector diagram show A, B, and A-B, and also show that agrees qualitatively with your answer in part c).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 7
Given two vectors A = 4.00i + 7.00į and B = 5.00i - 2.00j.
a) find the magnitude of each vector;
b) write an expression for the vector difference A - B using unit vectors;
c) find the magnitude and direction of vector difference A - B;
d) In a vector diagram show A, B, and A-B, and also show that your diagram
%3D
agrees qualitatively with your answer in part c).
a) A = 8.06
B = 5.39
b) A - B = -1.00i +9.00j
c) 9.06
0 =96.3°
%3D
%3D
Transcribed Image Text:Problem 7 Given two vectors A = 4.00i + 7.00į and B = 5.00i - 2.00j. a) find the magnitude of each vector; b) write an expression for the vector difference A - B using unit vectors; c) find the magnitude and direction of vector difference A - B; d) In a vector diagram show A, B, and A-B, and also show that your diagram %3D agrees qualitatively with your answer in part c). a) A = 8.06 B = 5.39 b) A - B = -1.00i +9.00j c) 9.06 0 =96.3° %3D %3D
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