>>> a
array([1, 2, 3])
>>> b
array([ 1., 1., 1.])
>>> np.multiply(a,b)
array([ 1., 2., 3.])
>>> np.dot(a,b)
6.0

>>> c
matrix([[1, 2, 3]])
>>> d
matrix([[ 1., 1., 1.]])
>>> np.multiply(c,d)
matrix([[ 1., 2., 3.]])
>>> np.dot(c,d)
Traceback (most recent call last):
 File "<stdin>", line 1, in <module>
ValueError: shapes (1,3) and (1,3) not aligned: 3 (dim 1) != 1 (dim 0)

>>> a*b
array([ 1., 2., 3.])
>>> c*d
Traceback (most recent call last):
 File "<stdin>", line 1, in <module>
 File "C:\ProgramData\Anaconda3\lib\site-packages\numpy\matrixlib\defmatrix.py", line 343, in __mul__
  return N.dot(self, asmatrix(other))
ValueError: shapes (1,3) and (1,3) not aligned: 3 (dim 1) != 1 (dim 0)