How to sum up multiple vectors, element by element, to recieve one final value?

I am a beginner to MATLAB and I'm probably trying to run before I can walk here, however, I need to calculate this equation below and I have found no explanations online:

Where, WP and Op are vectors with 8760 iterations each.

I want to conduct this equation for each iteration of h (i.e. WP(1)*Op(1)/Op(1)) and summate each value to find a single value for the whole calculation (Ex).

I've been down the for loop route but not fully understanding how I can link it to my problem.

Any help would be amazing. Thanks!

Answer 1

[Kevin Phung]

example:

W = [1 2 3 4 5]; 
O = [1 2 3 4 5];

%do the numerator first: 
E = W.*O; %element wise product

%sum up the products, and divide by the sum of all elements in O:
E = sum(E)/sum(O); % E should now be a scalar -- your answer

let me know if this helps.

Answer 2

[James Tursa]

The numerator is just a simple dot product between two vectors, and the denominator is just a simple sum. Using the fact that a dot product between two vectors can be accomplished with the matrix multiply operator, you can just do a (row vector) * (column vector) operation on top and a sum on the bottom. E.g.,

If both are row vectors, then

E = WP * Op.' / sum(Op);

If both are column vectors, then

E = WP.' * Op / sum(Op);

Note that the .' operation is a non-conjugate transpose.