MATLAB: Vectorization of For loop

Question

Dear Matlab community,

Is it possible to vectorize the following for loop:

a = rand(100,100);
b = rand(500,100,100);
for i = 1:500
    c = reshape(b(i, :, :),100,100);
    d(i) = sum(sum(a.*c));
end

Answer 1

 d = sum(b .* reshape(a, 1, 100, 100), [2 3]);