(mathematical) In two dimensions, a vector is a pair of numbers representing directed arrows in a plane as shown by vectors V1 and V2 in the figure below. Two-dimensional mathematical vectors can be written in the form (a,b), where a and b called the x and y componenets of the vector. For example, for the vectors in the Figure, V1 = (9,4) and V2=(3,5). For mathematical vectors, the following operations apply:

If V1 = (a,b) and V2=(c,d)

V1 + V2 = (a,b) + (c,d) = (a+c, b+d)

V1 - V2 = (a,b) - (c,d) = (a-c, b-d)

Using the information, write a C++ program that defines an array of two mathematical vector strutures; each structure consists of two double-precision components, a and b. Your program should permit a user to enter two vectors, call two functions that return the sum and difference of the entered vectors, and display the results calculated by these functions.