Find an equation of the plane through the origin and parallel to the plane 3x + 2y + 1z = 4.

Since they are parallel, I tried to find the normal to 3x + 2y + 1z = 4 but i forget how.

Then use N . <x,y,z> = 0 (cause it passes through origin)

Is this correct, and if so, can i get help finding N?

Thanks