code in python

1. Write a function that takes in two vectors and returns their inner product. Use a loop or nditer, not inbuilt functions (we aren't aiming for a good implementation, but to ensure you understand inner products :)) 2. Verify the previous function by using the numpy inbuilt command np.dot that computes the inner product. 3. Write a function that takes in two vectors and returns their outer product. Again, use a loop or nditer, not inbuilt functions. 4. Verify the previous function by using the numpy inbuilt command np.matmul or the operator @