Vectors

Remember that for dealing with vectors you have the following constructors and selectors:

• (make-vector n) : function that returns a vector of length n.
• (vector-length v) : function that returns the length of vector v.
• (vector-ref v i) : function that returns the (i+1)-st element of vector v (for example (vector-ref v 0) is the first element of the vector v).

(a)

[5 points] Write a function max-vector that computes the maximum value in a vector, e.g. (max-vector #(2 -5 7 4)) 7 (remember you are dealing with vectors here, not with lists, i.e. things like map etc. won't work).

(b)

[5 points] Write a function vector->list that converts a vector into a list containing the same elements, e.g. (vector->list #(2 5 4 3)) (2 5 4 3).