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
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
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 38P
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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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