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If I have two planes,

2x - y + 5z = 4 and -4x + 2y - 10z = 5

can I give the distance between them by simply subtracting their points?

(8x,-3y-5z) ?

(I intended to set this up so that they do not intersect, I hope I did that correctly).

Furthermore, can anyone shed some light on why the distance formula for a point - plane is

[tex]D= \frac{| ax_{o} + by_{o} + cz_{o} + d |}{\sqrt{a^{2} + b^{2} + c^{2}}}[/tex]

where a,b,c,d are points on the plane and x,y,z are the point coordinates?

Thank you!

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# Distance between point-plane & plane-plane

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