How does NumPy multidimensional array iteration work? (With and without nditer)

Note: I am not sure if this is a duplicate or not -- please let me know if it is (and close the question).

If one has a 1-dimensional NumPy array vector, then if one writes a for loop of the form:

for element in vector :
    print(element)

The result will print each element of the NumPy array.

If one has a 2-dimensional NumPy array matrix, then if one writes a for loop of the form:

for vector in matrix :
    print(vector)

The result will print each row of the 2-dimensional NumPy array, i.e. it will print 1-dimensional NumPy arrays, and it will not print each element of the array individually.

However, if one instead writes the for loop as:

import numpy
for element in numpy.nditer(matrix) :
     print(element)

The result will print each element of the 2-dimensional NumPy array.

Question: What happens if one has a 3-dimensional NumPy array, tensor?

a. If one writes a for loop of the form:

for unknownType in tensor :
     print(unknownType)

Will this print the constituent 2-dimensional NumPy (sub-)arrays of tensor?

I.e. for an n-dimensional NumPy array nArray, does for unknownType in nArray : iterate over the constituent (n-1)-dimensional NumPy (sub-)arrays of nArray?

b. If one writes a for loop of the form:

for unknownType in numpy.nditer(tensor) :
    print(unknownType)

Will this print the elements of tensor? Or will it print the constituent 1-dimensional NumPy (sub-)arrays of the constituent 2-dimensional NumPy (sub-)arrays of tensor?

I.e. for an n-dimensional NumPy array nArray, does for unknownType in nditer(nArray) : iterate over the elements of nArray? Or does it iterate over the constituent (n-2)-dimensional NumPy (sub-)arrays of the constituent (n-1)-dimensional NumPy (sub-)arrays of nArray?

It is unclear to me from the name nditer, since I don't know what "nd" stands for ("iter" is obviously short for "iteration"). And presumably one can think of the elements as "0-dimensional NumPy arrays", so the examples given to me for 2-dimensional NumPy arrays are ambiguous.

I've looked at the np.nditer documentation but honestly I didn't understand the examples or what they were trying to demonstrate -- it seems like it was written for programmers (which I am not) by programmers.