Find the tangent plane to $z=1$

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I want to find the tangent plane to $z=1$

I'm thinking the normal vektor should be $(0,0,1)$

But how do I get this into an equation of the tangent plane.

Would it be correct to just answer that the tangent plane is exactly $z=1$?

Thanks in advance

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Hint. Consider the one-dimensional case. Which line is tangent to a straight line? Isn't it its own self?