Troubleshooting Vector Angles in Three Dimensions

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SUMMARY

The discussion centers on troubleshooting vector angles in three-dimensional space, specifically addressing the angles β=52.5, α=121, and γ=53.1. The user expresses confidence in their calculations but questions the accuracy of the book's answers. They provide visual references to their work, indicating a potential discrepancy between their results and the textbook. The user seeks clarification on the correctness of their approach to solving the problem.

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  • Understanding of three-dimensional vector geometry
  • Familiarity with angle calculations in 3D space
  • Basic knowledge of trigonometric functions
  • Ability to interpret graphical representations of vectors
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  • Review vector angle calculations in three-dimensional geometry
  • Study the properties of spherical coordinates
  • Learn about the role of trigonometric identities in vector analysis
  • Explore common errors in calculating angles between vectors
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Students and professionals in mathematics, physics, and engineering who are working with vector analysis and three-dimensional geometry.

whynot314
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ok so I am not sure how else to do this problem, my answers look similar to those in the book. where they have β=52.5 \alpha=121 \gamma=53.1, I feel like the book is wrong because i don't see any other way to solve this problem.

[URL=http://s1341.photobucket.com/user/nebula-314/media/20130523_174427_zpsda388c38.jpg.html][PLAIN]http://i1341.photobucket.com/albums/o745/nebula-314/20130523_174427_zpsda388c38.jpg[/URL][/PLAIN]

Heres how I solved for the angles
[URL=http://s1341.photobucket.com/user/nebula-314/media/20130523_174442_zps9be6b8d1.jpg.html][PLAIN]http://i1341.photobucket.com/albums/o745/nebula-314/20130523_174442_zps9be6b8d1.jpg[/URL][/PLAIN]
 
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The gammas are the same so I am unsure where I went wrong.
 

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