Cross product between unit vectos

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SUMMARY

The discussion focuses on calculating the cross product between unit vectors in various coordinate systems, specifically Cartesian, spherical, and cylindrical coordinates. Participants clarify the distinction between the dot product and cross product, emphasizing the need for a table that outlines the cross product results for unit vectors across all basis. The conversation also addresses a potential typo regarding the term "vecto," confirming that the correct term is "vector." Calculating the cross product is essential for understanding vector operations in physics and engineering.

PREREQUISITES
  • Understanding of vector mathematics, specifically unit vectors.
  • Familiarity with Cartesian, spherical, and cylindrical coordinate systems.
  • Knowledge of vector operations, including dot product and cross product.
  • Basic proficiency in mathematical notation and terminology.
NEXT STEPS
  • Research the properties and applications of the cross product in vector mathematics.
  • Learn how to convert between Cartesian, spherical, and cylindrical coordinates.
  • Explore the geometric interpretation of the cross product in three-dimensional space.
  • Find or create a comprehensive table of cross products for unit vectors in various bases.
USEFUL FOR

Students, educators, and professionals in mathematics, physics, and engineering who require a deeper understanding of vector operations and their applications in different coordinate systems.

Jhenrique
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I have a nice table that shows the dot product between unit vectos (see annex). I'd like know how is the cross product between unit vectos of all basis. Do you have a table with such information?
 

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Jhenrique said:
I have a nice table that shows the dot product between unit vectos (see annex). I'd like know how is the cross product between unit vectos of all basis. Do you have a table with such information?
Is that just a consistent typo, or am I missing something about a mathematical object called a vecto? :-p

Not that I can think of. You should probably be able to calculate the cross product in Cartesian coordinates, and then convert to spherical or cylindrical coordinates.
 

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