Applet: Plane from point and normal vector with additional point in the plane
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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). In addition, there is another point $Q$ (in yellow) that is constrained to lie in the plane. The vector from $P$ to $Q$ is shown in cyan. You can move the points $P$ and $Q$ and the vector $\vc{n}$ by dragging them with the mouse. Dragging the mouse elsewhere rotates the whole figure. Note that the vector from $P$ to $Q$ is always perpendicular to the normal vector $\vc{n}$.
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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.