Math Insight

Applet: Cartesian coordinates of a point in three dimensions

Applet: Cartesian coordinates of a point in three dimensions

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The Cartesian coordinates $(x,y,z)$ of a point in three-dimensions specify the signed distance from the origin along the $x$, $y$, and $z$-axes, respectively. The rectangular box has opposite corners at the origin and at the blue point. The three coordinates of the blue point are represented by the red points, which are the corners of the box along each axis. You can change the point by dragging the blue point with the mouse. Alternatively, you can independently change one of the coordinates by dragging a red point.

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The applet was made using three.js and requires Javascript as well as a browser that supports WebGL. For most three.js applets, you can drag with the mouse to rotate the view, drag with the right button to pan, and zoom in/out with the mouse wheel. Many applets contain points that you can drag to change values of variables.