A middot B Sigmai1100 AiBi Write a computer program to comp

A middot B = Sigma_i=1^100 A_iB_i. Write a computer program to compute the sum in Eq. (6.24) for A = cos 2 pi i/100 and B = sin 2pi i/100 where i runs from 1 to 100. Do you get zero? Repeat the calculation for A middot A and B middot B. Do the numerical values of the dot products you obtain make sense? Briefly explain.

Solution

Program in matlab

clc;

clear all;

close all;

a= zeros(1,100);

b= zeros(1,100);

for i =1 :100

a(i) = cos(2*pi*i/100);

b(i) = sin(2*pi*i/100);

end

result = sum (a .*b)

result 1= a.*a;

result2= b.*b;

Answer

result = 0

result 1 = 48;

result 2 =48