Projection of a triangle in XY plane

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SUMMARY

The projection of the triangle defined by vertices (2,0,0), (0,2,1), and (0,0,0) onto the XY plane is straightforward. The projection process involves taking the coordinates of each vertex and disregarding the Z-coordinate, resulting in the projected vertices (2,0), (0,2), and (0,0). This method simplifies the representation of the triangle in the XY plane, making it easier to visualize and analyze.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Knowledge of geometric projections
  • Familiarity with basic vector mathematics
  • Ability to interpret Cartesian coordinates
NEXT STEPS
  • Study the principles of geometric projections in 3D space
  • Learn about transformations in coordinate systems
  • Explore applications of projections in computer graphics
  • Investigate the implications of projections in analytical geometry
USEFUL FOR

Students studying geometry, educators teaching 3D coordinate systems, and professionals in fields such as computer graphics and engineering who require an understanding of geometric projections.

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Homework Statement



triangle in the plane z=1/2y with vertices (2,0,0) (0,2,1) (0,0,0)

please help me to find out the projection of the triangle in xy plane.

thanks

Homework Equations





The Attempt at a Solution

 
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The projection of (x,y,z) into the xy plane is (x,y). It's a lot more simple than you think.
 
Dick said:
The projection of (x,y,z) into the xy plane is (x,y). It's a lot more simple than you think.

Thanks a lot :biggrin:
 

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