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?

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Chapter1: Units, Trigonometry. And Vectors
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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?
Transcribed Image Text: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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