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

write the equation of the plane that contains the point(-1, 2, -2) and satisfies

1. parallel to xy plane

2. orthogonal to z-axis

3.parallel to both the x and z axes

4. parallel to the plane x-y+3z = 100 (plane A)

2. Relevant equations

3. The attempt at a solution

i started with finding the normal of plane A which is <1,-1,3>

and i know that the normal of this plane should be the normal of my plane suince they're

parallel

but what i don't get is how the plane im finding can be orthogonal the the z axizs and parallel to it at the same time...

i drea it and it still doesn't look like it makes sense

i don't know where to go from here...

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# Equation of a plane

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