Comparing 3 Points on a 3D Graph

In summary, the conversation discusses a drawing of three points and the labeling of axes. The expert suggests labeling the axes with arrows or tick points to indicate positive direction and notes that the current drawing shows a left-handed coordinate system, which is unusual. The speaker states that their hand-drawn version does not have this issue.
  • #1
ineedhelpnow
651
0
excuse my TERRIBLE drawing but roughly, is this drawing a good representation of the points?
A(-4,0,-1)
B(3,1,-5)
C(2,4,6)

in my drawing i have the axis as 2, 4, 6 etc

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  • #2
That looks basically correct to me. But it would help if you would put arrows on the tips of the axes to indicate which direction is positive. Alternatively, label the tick points on the axes with 2,4,6,-2,-4,... .
 
  • #3
ineedhelpnow said:
excuse my TERRIBLE drawing but roughly, is this drawing a good representation of the points?
A(-4,0,-1)
B(3,1,-5)
C(2,4,6)

in my drawing i have the axis as 2, 4, 6 etc

Logically, the locations of the labels of the axes should identify the positive directions.
However, it appears you have treated the x-axis as being negative towards its label.
If that is what you intended, it's an unusual choice.
It makes your coordinate system a left-handed one.
See for instance this wiki article that explains why a right-handed system is preferred.

Anyway, with that choice your points are located correctly.
 
  • #4
I like Serena said:
Logically, the locations of the labels of the axes should identify the positive directions.
However, it appears you have treated the x-axis as being negative towards its label.
If that is what you intended, it's an unusual choice.
It makes your coordinate system a left-handed one.
I thought that I had checked that. But you are correct, the diagram shows a left-handed coordinate system, which goes against the usual convention.
 
  • #5
its not like that in my actual drawing by hand. i have no idea why i did it like that on here lol
 

FAQ: Comparing 3 Points on a 3D Graph

What is a 3D graph and how is it used?

A 3D graph is a visual representation of data that has three variables. It is used to display relationships between three different variables and can help in understanding patterns and trends in the data.

What are the three points being compared on a 3D graph?

The three points being compared on a 3D graph are the values of the three variables being plotted. Each point on the graph represents a unique combination of these three variables.

How do you interpret the data on a 3D graph?

To interpret the data on a 3D graph, you can look at the patterns and trends in the plotted points. You can also analyze the distance between points, as well as the direction and shape of the plotted data. Additionally, you can use the axes and labels to understand the units and scale of the data being compared.

What is the purpose of comparing three points on a 3D graph?

The purpose of comparing three points on a 3D graph is to understand the relationships between three variables and how they affect each other. By comparing these points, you can identify patterns and trends in the data, as well as make predictions and draw conclusions about the data set.

What are some common tools used to create and analyze 3D graphs?

Some common tools used to create and analyze 3D graphs include software programs like Excel, MATLAB, and Tableau. These programs allow for easy manipulation and visualization of data in three dimensions. Additionally, specialized tools like 3D graphing calculators and online graphing tools can also be used to create and analyze 3D graphs.

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