What is the general Cartesian equation of a plane parallel to z axis?

Hi, would really appreciate if you guys could help me with this problem:)



Write down the general cartesian equation of a vertical plane (parallel to the z-axis), a non vertical plane and a horizontal plane (parallel to the x,y-plane) together with their normal vectors.What is the general Cartesian equation of a plane parallel to z axis?ax+by+d = 0



ax+by+cz+d = 0



z+d = 0What is the general Cartesian equation of a plane parallel to z axis?The planes parallel to the z-axis will either be parallel to the xz plane or the yz plane.

The plane parallel to the xz plane is represented as y=c, where c is some constant.

The normal to this plane will be a vector parallel to the y-axis with equation yj.

The plane parallel to the yz plane is represented as x=c, where c is some constant.

The normal to this plane will be a vector parallel to the x-axis with equation xi.



The plane parallel to the xy plane will be parallel to the x-axis as well as the y-axis.

It is represented as z=c, where c is some constant.

The normal to this plane will be a vector parallel to the z-axis with equation zk.

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