Assignment. Using the class Vector that you described in Lab 9, in the main program, define and test several methods to deal with arrays of vectors:

• write a method that asks the user for the number of vectors, then for coordinates of each vector, and returns the resulting array of vectors;
• write a method that takes a vector a, and an integer n, and returns an array of vectors which are all equal to a; for example, if a = (1, 2, 4) and n = 3, then this method should return an array b consisting of three identical vectors b[0] = (1, 2, 4), b[1] = (1, 2, 4), and b[2] = (1, 2, 4)
• write a method that, given two arrays of vectors a[n] and b[n] (of the same size), returns the sum of their dot products: (a[0], b[0]) + (a[1], b[1]) + ... + (a[n − 1], b[n − 1]).

When it is due. The program is due at the beginning of the second lab section on the week of November 17, i.e.:

• on Wednesday November 19 for those who attend Monday-Wednesday labs, and
• on Thursday November 20 for those who attend Tuesday-Thursday labs.