Differences btw X-Y Plane and R-Z Plane

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SUMMARY

The discussion clarifies the differences between the XY plane and the R-Z plane, specifically in the context of cylindrical coordinates. It confirms that the unit length along the X-axis is equivalent to the unit length along the R-axis, indicating no conversion is necessary between these units. The conversation emphasizes the relevance of axi-symmetry in using the R-Z plane, which is commonly applied in various engineering and physics applications.

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  • Cylindrical coordinates
  • Understanding of axi-symmetry
  • Basic knowledge of vector representation
  • Familiarity with coordinate systems
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  • Study the properties of cylindrical coordinates in depth
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  • Learn about vector representation in different coordinate systems
  • Investigate the mathematical conversions between Cartesian and cylindrical coordinates
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Students and professionals in engineering, physics, and mathematics who are working with coordinate systems and need to understand the implications of using the R-Z plane versus the XY plane.

Skyeagle
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Hi guys,

While working with coordinates, I notice that for those that deal with axi-symmetry, the R-Z plane is used.

May I know what's the difference between the XY plane and the RZ plane?

I mean is 1 unit along the X-axis the same as 1 unit along the R axis or is there a conversion?

Thanks and Best Rgds
 
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Hi Skyeagle! :smile:
Skyeagle said:
… I mean is 1 unit along the X-axis the same as 1 unit along the R axis or is there a conversion?

I assume you're talking about cylindrical coordinates, r z and theta (or phi)?

Yes, the unit r vector is the same length as the unit x y or z vector. :smile:
 

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