The Visual Representation of a Cartesian 3D Axis System

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To draw a Cartesian 3D axis system, the z-axis is typically represented vertically, while the y-axis is positioned anti-clockwise from the x-axis at an angle to create a 3D effect. This arrangement aligns with conventional 2D graphing methods and ensures the cross-product (i x j = k) appears correctly. The observer's perspective is usually from the positive x and z axes and the negative y axis. This visual representation helps in accurately depicting spatial relationships in three dimensions. Understanding these conventions is essential for effective 3D graphing.
Valianth
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How do you draw an Cartesian 3D-axis-system?
The Y-axis seems to have some perspective; what's the position of the observer?
What's the 'way' of placement, and why?

All 'links' are welcome.

Dank u.
 
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Welcome to PF!

Hi Valianth! Welcome to PF! :smile:

The convention is that you draw the z-axis up, and the y-axis anti-clockwise from the x-axis … but at an angle, so that it "looks" 3D! :smile:

This is so that it agrees with the usual way of looking at 2D graph paper. And so that the cross-product (i x j = k) looks right!

And you draw it from the perspective of someone in the x and z positive and y negative sector. :smile:

… why were you asking?
 

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