Manhattan distance

In the previous section, we briefly looked at the Euclidean distance and cosine similarity. In this exercise, you are going to implement a function that computes the Manhattan distance.

The Manhattan distance, also known as the taxicab distance, between two vectors $\mathbf{p}=(p_1,p_2,...,p_n)$ and $\mathbf{q}=(q_1,q_2,...,q_n)$ is defined as:

where $|\cdot|$ represents the absolute value.

Instructions

Define a function called manhattan_distance, which takes as input two lists of numeric values (representing two vectors) and returns the Manhattan distance between them.