Very Simple Question: Distance between planes

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SUMMARY

The discussion focuses on calculating the distance between two planes given their Cartesian equations. A key insight is to simplify the problem by considering parallel planes, which allows for a more straightforward approach. The user ultimately resolves their query independently, indicating that the method of selecting a point on one plane to measure the distance is effective. This method is essential for solving similar geometric problems in mathematics.

PREREQUISITES
  • Understanding of Cartesian equations of planes
  • Knowledge of geometric concepts related to distance measurement
  • Familiarity with vector mathematics
  • Basic skills in algebra and linear equations
NEXT STEPS
  • Study the derivation of the distance formula between two parallel planes
  • Learn about the geometric interpretation of planes in three-dimensional space
  • Explore vector projections and their applications in distance calculations
  • Investigate the implications of non-parallel planes on distance measurement
USEFUL FOR

Students studying geometry, mathematics educators, and anyone interested in understanding spatial relationships between planes in three-dimensional space.

linuxux
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Homework Statement



Hello, how to find the distance between two planes when given their cartesian equations?

help appreciated, thanks.
 
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hints:

you might as well consider planes that are parallel to each other so...

transform the problem into something simpler... instead of looking at distance between two planes, choose something on one plane and go from there.
 
actually, I've got it, thanks anyways!
 
Last edited:

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