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1. Consider the vectors A = 2i – 3j – k, B = i+ 4j – 2k. (a) Find the magnitude of A x B using the determinant form. (b) Verify the result of part (a) by calculating | A x B| using the definition of vector product. (c) IE C= 4i –j+3k, what are the values of A x (B · C) and (A - B) x C?

1. Consider the vectors A = 2i – 3j – k, B = i+ 4j – 2k. (a) Find the magnitude of A x B using the determinant form. (b) Verify the result of part (a) by calculating | A x B| using the definition of vector product. (c) IE C= 4i –j+3k, what are the values of A x (B · C) and (A - B) x C?

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 1.16P: What surface is represented by r a = const, that is described if a is a vector of constant...
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1. Consider the vectors A = 2i – 3) – k, B = i+ 4j – 2k. (a) Find the magnitude of A x B using the determinant form. (b) Verify the result of part (a) by calculating | A x B| using the definition of vector product. (c) I£ C= 4i – } + 3k, what are the values of A x (B · C) and (A · B) x C?
Transcribed Image Text:1. Consider the vectors A = 2i – 3) – k, B = i+ 4j – 2k. (a) Find the magnitude of A x B using the determinant form. (b) Verify the result of part (a) by calculating | A x B| using the definition of vector product. (c) I£ C= 4i – } + 3k, what are the values of A x (B · C) and (A · B) x C?
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