Calculating normal vector to a rotated plane

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Forgive me if this isn't well phrased, it's been a while since I've done any maths!

I have a 2d image whose central point is located at the world origin, and it is in the plane $z = 0$.

If I rotate the image $\alpha$ degrees about the $z$-axis and $\beta$ degrees about the $x$-axis, how can I calculate the normal vector to the plane the image is now on?

Thanks in advance.