How do I implement this for loop calculation in direct matrix or vector calculation?

I have a matrix A of order (n+1)*3. And I have to perform a calculation. for loop implementtaion of it is given below.
R=0.0;
for j=1:1:n
R=R+(A(j+1,1)-A(j,1))^2+(A(j+1,2)-A(j,2))^2+(A(j+1,3)-A(j,3))^2;
end
How do I implement above calculation using matrix or vector notation. I need this for making optimization code run faster.
Thank you.

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