8) Consider two vectors À and B where:A = -6.00 ¢ + 3.00 ¡ + 3.00 kB = 6.00 1 - 8.00 ¡ + 4.00 kIf we want to find the angle between these two vectors, we have two options: we can use the magnitude of the dot product, or the magnitude of the cross product.À • B = AB cos(e)A x BI = AB sin(e)However, these approaches give conflicting answers for the value of e.a) What is the correct value of theta?b) Why does the other formula give the wrong answer? 8) Consider two vectors A and B where:A = -6.00 i +3.00j + 3.00 kB = 6.00 -8.00 +4.00 kIf we want to find the angle between these two vectors, we have two options: we can use themagnitude of the dot product, or the magnitude of the cross product.A B = AB cos(0)|Ã X B| = AB sin(0)However, these approaches give conflicting answers for the value of 0.a) What is the correct value of theta?b) Why does the other formula give the wrong answer?

a) Calculate the dot product of the vectors.…

Answered: 8) Consider two vectors A and B where:…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 8PQ

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8) Consider two vectors À and B where: A = -6.00 ¢ + 3.00 ¡ + 3.00 k B = 6.00 1 - 8.00 ¡ + 4.00 k If we want to find the angle between these two vectors, we have two options: we can use the magnitude of the dot product, or the magnitude of the cross product. À • B = AB cos(e) A x BI = AB sin(e) However, these approaches give conflicting answers for the value of e. a) What is the correct value of theta? b) Why does the other formula give the wrong answer?

8) Consider two vectors A and B where:
A = -6.00 i +3.00j + 3.00 k
B = 6.00 -8.00 +4.00 k
If we want to find the angle between these two vectors, we have two options: we can use the
magnitude of the dot product, or the magnitude of the cross product.
A B = AB cos(0)
|Ã X B| = AB sin(0)
However, these approaches give conflicting answers for the value of 0.
a) What is the correct value of theta?
b) Why does the other formula give the wrong answer?

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