Applet: Plane from point and normal vector
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This plane is determined by the conditions of passing through the point $\color{red}{P}$ (in red) and being perpendicular to the vector $\color{green}{\vc{n}}$ (in green). You can change the point $\color{red}{P}$ and the normal vector $\color{green}{\vc{n}}$ by dragging the colored balls. Dragging the mouse elsewhere rotates the whole figure.
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General information about three.js applets
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.