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

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In summary, the conversation is about a person looking for help with an unfamiliar equation they have encountered while working on a 3D engine. They have searched through linear algebra books but have not found an answer. The equation in question is || (x,y,z)T ||2, which they initially thought was the absolute value of a vector's length. However, it does not produce the expected visual result. They are seeking clarification on the equation's purpose and how to calculate it. Another person responds that it is the ordinary length of a vector and explains how to calculate it. The original person is still unsure about the equation's purpose.
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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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  • #2
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.
 

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

What is an operator in scientific research?

An operator in scientific research is a symbol or function that is used to perform mathematical operations or manipulate data in an experiment or study. It can represent addition, subtraction, multiplication, division, or other mathematical functions.

How do I identify an operator in a scientific equation?

An operator is typically represented by symbols such as +, -, *, /, or ^ in a scientific equation. It is usually placed between two variables or values to indicate the operation that needs to be performed.

What is the difference between an operator and a variable in scientific research?

An operator is a symbol or function used to manipulate data, while a variable is a quantity or value that can change in an experiment. Operators are used to perform operations on variables and other data in an equation or formula.

Can an operator be used in more than one way in scientific research?

Yes, an operator can be used in different ways depending on the context of the scientific research. For example, the * symbol can represent multiplication, but it can also be used to indicate a wildcard in computer programming.

Are there any rules or guidelines for using operators in scientific research?

Yes, there are certain rules and guidelines for using operators in scientific research. These include the order of operations, which dictates the sequence in which operators should be applied in an equation, and the use of parentheses to clarify the order of operations. It is important to follow these rules to ensure accurate and consistent results in scientific research.

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