How do you represent vectors in a 3D space?

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SUMMARY

This discussion focuses on the concept of reciprocal vectors and their representation in 3D space. The participant expresses difficulty in understanding the geometric meaning of reciprocal vectors despite knowing the associated formulas. The conversation emphasizes the need for clarity on how these vectors are visualized and utilized in three-dimensional contexts, particularly in advanced physics applications.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with 3D coordinate systems
  • Knowledge of linear algebra concepts
  • Basic principles of physics related to vector representation
NEXT STEPS
  • Research the geometric interpretation of reciprocal vectors
  • Study the application of reciprocal vectors in crystallography
  • Explore 3D vector visualization tools such as GeoGebra
  • Learn about the relationship between reciprocal vectors and Fourier transforms
USEFUL FOR

Students and professionals in physics, mathematics, and engineering who seek to deepen their understanding of vector representation in three-dimensional space, particularly those studying advanced topics in linear algebra and crystallography.

phy-79
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I have problems in understanding what RECIPROCAL VECTORS are...
I know the formulas regarding it but don't know their geometric meaning is...
How do you represent them in a 3D spcace ?
 
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phy-79 said:
I have problems in understanding what RECIPROCAL VECTORS are...
I know the formulas regarding it but don't know their geometric meaning is...
How do you represent them in a 3D spcace ?

Moved to Homework Help, Advanced Physics for now. Could you please say more about what you know about "reciprocal vectors"?
 

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