Show that the following eight vectors are pairwise orthogonal:

\[\begin{aligned}& s 1=(1,1,0,0,0,0,0,0)^{T} \\& s 2=(0,0,1,1,0,0,0,0)^{T} \\& s 3=(0,0,0,0,1,1,0,0)^{T} \\& s 4=(0,0,,0,0,0,1,1)^{T} \\& s 5=(1,1,1,1,0,0,0,0)^{T} \\& s 6=(0,0,0,0,1,1,1,1)^{T} \\& s 7=(1,1,1,1,1,1,1,1)^{T} \\& s 8=(1,1,1,1,1,1,1,1)^{T}\end{aligned}\]