Comparing 3 Points on a 3D Graph

  • Context: MHB 
  • Thread starter Thread starter ineedhelpnow
  • Start date Start date
  • Tags Tags
    3d Graph Points
Click For Summary
SUMMARY

The discussion centers on the representation of three points A(-4,0,-1), B(3,1,-5), and C(2,4,6) on a 3D graph. Participants noted that the axes should be labeled with positive directions, and the current drawing indicated a left-handed coordinate system, which is unconventional. The suggestion was made to add arrows to the axes to clarify directionality and to label tick points accurately. Overall, the points are correctly located, but the representation requires adjustments for clarity and adherence to standard conventions.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Familiarity with left-handed vs. right-handed coordinate systems
  • Basic graphing skills in mathematics
  • Knowledge of axis labeling conventions
NEXT STEPS
  • Research the differences between left-handed and right-handed coordinate systems
  • Learn how to accurately label axes in 3D graphs
  • Explore tools for creating 3D visualizations, such as GeoGebra or MATLAB
  • Study best practices for representing points in 3D space
USEFUL FOR

Students, educators, and professionals in mathematics, computer graphics, and data visualization who seek to improve their understanding of 3D graphing conventions and representation techniques.

ineedhelpnow
Messages
649
Reaction score
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

View attachment 2951
 

Attachments

  • xyz.png
    xyz.png
    3 KB · Views: 88
Physics news on Phys.org
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,... .
 
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.
 
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.
 
its not like that in my actual drawing by hand. i have no idea why i did it like that on here lol
 

Similar threads

Undergrad Curvature of 3D Graph on Point w/ Directional Vector
  • · Replies 3 ·
Replies
3
Views
2K
MHB Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes
  • · Replies 3 ·
Replies
3
Views
1K
MHB Determine the relative maximum and minimum on the graph
  • · Replies 5 ·
Replies
5
Views
2K
MHB -apc.2.1.06 crosses the x-axis at one point in the interval [0,1]
  • · Replies 4 ·
Replies
4
Views
1K
MHB Visualizing a Circle on a 3D Graph Using Parameterization
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is the Inflection Point at x = 7 Incorrect?
  • · Replies 5 ·
Replies
5
Views
2K
MHB 141.30 how many points of inflection will the graph of the function have
  • · Replies 3 ·
Replies
3
Views
2K
MHB AP calculus exam tikx graph of e (tan x ) -2
  • · Replies 4 ·
Replies
4
Views
7K
MHB Plotting points on ti nspire cx cas
  • · Replies 15 ·
Replies
15
Views
12K
High School How to Visualize 3D Surfaces for a PVT Diagram
  • · Replies 3 ·
Replies
3
Views
1K