The DotProduct(L1, L2) calling sequence computes the real dot product of two lists, L1 and L2, where both lists have equal length.

To find the inner product, use DotProduct(L1, map(conjugate, L2)).

$\mathrm{with}\left(\mathrm{ListTools}\right)\:$

$L≔\left[0.\,0.84\,0.91\,0.14\,-0.76\,-0.96\,-0.28\,0.66\,0.99\,0.41\,-0.54\right]$

$L≔\left[0.\,0.84\,0.91\,0.14\,\mathrm{-0.76}\,\mathrm{-0.96}\,\mathrm{-0.28}\,0.66\,0.99\,0.41\,\mathrm{-0.54}\right]$

$M≔\left[1.\,0.54\,-0.42\,-0.99\,-0.65\,0.28\,0.96\,0.75\,-0.15\,-0.91\,-0.84\right]$

$M≔\left[1.\,0.54\,\mathrm{-0.42}\,\mathrm{-0.99}\,\mathrm{-0.65}\,0.28\,0.96\,0.75\,\mathrm{-0.15}\,\mathrm{-0.91}\,\mathrm{-0.84}\right]$

$\mathrm{DotProduct}\left(L\,L\right)$

$5.0063$

$\mathrm{DotProduct}\left(L\,M\right)$

$0.3162$