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

Discussion Overview

The discussion revolves around the representation of three points A(-4,0,-1), B(3,1,-5), and C(2,4,6) on a 3D graph. Participants evaluate the accuracy of a drawing depicting these points and the orientation of the axes, focusing on the implications of a left-handed versus right-handed coordinate system.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents a drawing of the points and asks for feedback on its accuracy.
  • Another participant suggests adding arrows to the axes to indicate positive directions and labeling tick points for clarity.
  • A participant notes that the drawing appears to treat the x-axis as negative towards its label, indicating a left-handed coordinate system, which is considered unusual.
  • Another participant acknowledges the left-handed nature of the coordinate system and agrees that it goes against conventional preferences.
  • A participant expresses confusion about the representation in the drawing compared to their actual hand-drawn version.

Areas of Agreement / Disagreement

Participants generally agree on the correct placement of the points in the drawing, but there is disagreement regarding the orientation of the axes and the implications of using a left-handed coordinate system.

Contextual Notes

The discussion highlights the importance of clearly indicating positive directions on axes, as well as the potential confusion arising from unconventional coordinate system choices. The implications of left-handed versus right-handed systems remain unresolved.

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: 90
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