Finding Equation of Plane Given Position Vector & Perp.

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SUMMARY

The discussion focuses on finding the equation of a plane given a position vector (2, 1, 1) and a perpendicular vector (3, -1, 2). The perpendicular vector is confirmed to be the normal vector of the plane. Participants clarify that the terms 'perpendicular' and 'normal' are interchangeable in this context. The user expresses confidence in deriving the plane's equation once the normal vector is established.

PREREQUISITES
  • Understanding of vector mathematics
  • Knowledge of the equation of a plane in 3D space
  • Familiarity with normal vectors
  • Basic skills in linear algebra
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  • Study the derivation of the equation of a plane using a point and a normal vector
  • Learn about the geometric interpretation of normal vectors in 3D space
  • Explore applications of planes in computer graphics
  • Investigate the role of vectors in linear transformations
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terryfields
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questions acctuly finding the equation of a plane given a position vector 2,1,1, and the perpendicular (3,-1,2) but after i get the normal i think i can do it from there thanks
 
Physics news on Phys.org
What's the difference between a 'perpendicular' and a 'normal'? If (3,-1,2) is a vector that's perpendicular to the plane, then it's a normal.
 

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