(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using the Ax+By+Cz+D= 0 equation for planes, where D = -(Axo, Byo, Czo)

Find the locus given by the equation if A and B = 0

note: I'm not 100% sure if locus is the right word, english isn't my primary language.

2. Relevant equations

Given above.

3. The attempt at a solution

Well, if A and B = 0, the equations can be written as Cz+D = 0.

Which means z = -D/C = (0x + 0y Czo)/C = zo

Since we're in a 3 dimensions space, the way I see it both x and y are unrestricted and can take any values. Does that mean the locus defines a plane parallel to the X and Y axis, at a Z value of Zo?

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# Homework Help: What is the locus (unsure if this is the right word) defined by these equations?

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