Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: a) Find the magnitude of each vector b) Write an expression for the vector sum A + B using unit vectors c) Write an expression for the vector difference A – C using unit vectors d) Find the scalar product A ∙ B e) Find the cross product A × B f) Find the angle between A and B g) Find (A x C) ∙ B

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
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Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following:

a) Find the magnitude of each vector
b) Write an expression for the vector sum A + B using unit vectors
c) Write an expression for the vector difference A – C using unit vectors
d) Find the scalar product A ∙ B
e) Find the cross product A × B
f) Find the angle between A and B
g) Find (A x C) ∙ B

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