What Does the Equation || (x,y,z)T ||2 Represent in 3D Graphics?

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SUMMARY

The equation || (x,y,z)T ||2 represents the Euclidean norm of a 3D vector in computer graphics, specifically the length of the vector formed by the components (x, y, z). This norm is calculated as the square root of the sum of the squares of its components, which is a fundamental concept in linear algebra. The confusion arises when the visual representation does not align with expectations, indicating a potential misunderstanding of the vector's application in the 3D engine implementation. Properly calculating this norm is crucial for accurate rendering and transformations in 3D graphics.

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Computer graphics developers, 3D engine implementers, and anyone involved in mathematical modeling for visual rendering will benefit from this discussion.

otis
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I am going through some papers on computer graphics because I'm implementing a 3D engine and have come across and equation I don't recognize. I've looked in every linear algebra book on vectors and matrices I have but had no luck whatsoever.

equation goes like that, sorry for bad formatting:

|| (x,y,z)T ||2

I thought this was absolute value of vector(length), but since it doesn't do what it's supposed to visually, I have my doubts. Does anyone recognize it and how do I calculate it?
 
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That is the ordinary length of a vector: square root of the sum of squares of components. I don't know what it is "supposed to do" so I don't know whay you have doubts.
 

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