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I was working out of my textbook over the summer preparing for Calculus III, and I have a question about finding the distance between two parallel planes.

I believe that I understand how the equation given works:

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

To find the point, I set z=y=0. However, assuming that the planes are parallel, why can I not use this to find the point (x,0,0) on both planes and calculate the distance between these two points? It seems to me that since both points are in their respective planes, the distance given would work, but I get a difference answer from the above formula.

Why is that?

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# Distance Between Two Parallel Plans

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