This program is meant to give you practice with lists and looping on them, as well as practice with vector computations. write a program that lets a user enter two vectors, a and b, of arbitrary dimension and store each vector as a python list. you should allow the user to first enter the dimension of the vector, then get the elements of the two vectors from the user. then, you should output (in a clearly labeled way), the results of these computations: • the magnitude of vector a and the magnitude of vector b • a + b • a – b • the dot product (inner product) of a and b note: you should use lists when solving this problem. later we will see some other ways to work with vectors more directly.

Write a grading program for a class with the following grading policies: a. there are two quizzes, each graded on the basis of 10 points. b. there is one midterm exam and one final exam, each graded on the basis of 100 points. c. the final exam counts for 50% of the grade, the midterm counts for 25%, and the two quizzes together count for a total of 25%. (do not forget to normalize the quiz scores. they should be converted to a percentage before they are averaged in.) any grade of 90 or more is an a, any grade of 80 or more (but less than 90) is a b, any grade of 70 or more (but less than 80) is a c, any grade of 60 or more (but less than 70) is a d, and any grade below 60 is an f. the program will read in the student’s scores and output the student’s record, which consists of two quiz and two exam scores as well as the student’s average numeric score for the entire course and final letter grade. define and use a structure for the student reco