It can be viewed as the inner product between two vectors :

Let r to be length of vector (a,b,c). i.e. r=|(a,b,c)|= Math.sqrt{a*a+b*b+c*c}.

Then the equation can be re-writted as ,

where hat{b}=b/r, hat{c}=c/r$.

If d=0, the origin (0,0,0) is on the plane.

Otherwise, the shortest distance between (0,0,0) and the plane is d/r.

You can drag the vector (a,b,c) with mouse or change their values with sliders.

**Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop.**This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

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