Given the normals ($n_1$ and $n_2$) of two parallel planes is it possible to calculate the distance between these two planes. if so, how?
Am coding some app and the normals are the only thing I have got.
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2$\begingroup$ If they are parallel, $n_1=\pm n_2$ $\endgroup$– stityAug 8, 2017 at 13:32
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1$\begingroup$ You will need the coordinates of a point in each plane and a normal to compute the distance $\endgroup$– stityAug 8, 2017 at 13:33
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1 Answer
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The normal vectors alone provide no information on the distance between the planes. $d=\left|\left(\vec{x}_{1}-\vec{x}_{2}\right) \cdot \hat n \right|$
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1$\begingroup$ If you have the normal vectors plus a point which lies on the plane for each plane, you can then compute the distance. $\endgroup$ Aug 8, 2017 at 13:33
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