8) Consider two vectors A and B where: A = -6.00 i +3.00j +3.00 k B= 6.00 -8.00j + 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. AB=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?
8) Consider two vectors A and B where: A = -6.00 i +3.00j +3.00 k B= 6.00 -8.00j + 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. AB=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?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?
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