Write a function that computes the distance between two points p and q$,$ both of which are provided to the function as two separate arrays. In general, the function must be able to calculate the distance between points in an n$-$space, using the formula:

For example, a possible input could be p$=$array$([1,3,4])$ and q$=$array$([0,0,-1]).$ Here p and q are points in a three$-$dimensional space, since each point has three coordinates. The distance between the two points in the example is given by:

Create a version of that function that uses NumPy$$s vectorized operations, and another version that does not use vectorized operations $($i$.$e$.,$ that depends on loops$).$