Multiplying Numpy 3D arrays by 1D arrays

Question

I am trying to multiply a 3D array by a 1D array, such that each 2D array along the 3rd (depth: d) dimension is calculated like:

1D_array[d]*2D_array

And I end up with an array that looks like, say:

[[
[1,1]
[1,1]]
[
[2,2]
[2,2]]
[
[3,3]
[3,3]]]

Which would be the result of correctly multiplying np.ones((3,2,2)) with [1,2,3].

I've been trying for some time now and whatever I seem to do I can't end up with this result, just variations on the theme. How do I correctly go about doing this?

Thanks for any help.