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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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    $\begingroup$ If they are parallel, $n_1=\pm n_2$ $\endgroup$
    – stity
    Commented Aug 8, 2017 at 13:32
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    $\begingroup$ You will need the coordinates of a point in each plane and a normal to compute the distance $\endgroup$
    – stity
    Commented Aug 8, 2017 at 13:33

1 Answer 1

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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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    $\begingroup$ If you have the normal vectors plus a point which lies on the plane for each plane, you can then compute the distance. $\endgroup$ Commented Aug 8, 2017 at 13:33
  • $\begingroup$ Ok let me try it. $\endgroup$
    – Minathe
    Commented Aug 8, 2017 at 13:34

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