Projection of a triangle in XY plane

In summary, the projection of a triangle in the XY plane is a 2D representation of a 3D triangle on a flat surface, also known as orthographic projection. Its purpose is to visualize and analyze the shape and properties of a 3D triangle in a 2D space, which can be useful in various fields. A triangle can be projected onto the XY plane by drawing lines from each vertex to the X and Y axes, providing information about its angles, sides, and relationship to the axes. However, there are limitations to this projection, as it only shows one view and may not accurately represent the size or distance of the triangle in 3D space.
  • #1
farmd684
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0

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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  • #2
The projection of (x,y,z) into the xy plane is (x,y). It's a lot more simple than you think.
 
  • #3
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:
 

What is the projection of a triangle in the XY plane?

The projection of a triangle in the XY plane is the 2D representation of a 3D triangle on a flat surface. It is also known as the orthographic projection.

What is the purpose of projecting a triangle in the XY plane?

The purpose of projecting a triangle in the XY plane is to visualize and analyze the shape and properties of a 3D triangle in a 2D space. This can be helpful in various fields such as engineering, architecture, and computer graphics.

How is a triangle projected onto the XY plane?

A triangle can be projected onto the XY plane by drawing lines from each vertex of the triangle to the X and Y axes to create a 2D representation of the triangle. The resulting projection will have the same shape and size as the original triangle, but with a different orientation.

What information can be obtained from the projection of a triangle in the XY plane?

The projection of a triangle in the XY plane can provide information about the triangle's angles, sides, and overall shape. It can also show the relationship between the triangle and the X and Y axes, which can be useful in determining its position and orientation in 3D space.

Are there any limitations to projecting a triangle in the XY plane?

Yes, there are some limitations to projecting a triangle in the XY plane. The projection only shows one view of the 3D triangle, so it may not capture all of its features and properties. Additionally, the projection may not accurately represent the true size or distance of the triangle in 3D space.

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