Find a basis for the orthogonal complement of W=span{(1,1,0),(0,1,1)}W = \text{span}\{(1, 1, 0), (0, 1, 1)\}W=span{(1,1,0),(0,1,1)} in R3\mathbb{R}^3R3.
{(1,1,0)}\{(1, 1, 0)\}{(1,1,0)}
{(1,−1,1)}\{(1, -1, 1)\}{(1,−1,1)}
{(0,1,1)}\{(0, 1, 1)\}{(0,1,1)}
{(1,0,1)}\{(1, 0, 1)\}{(1,0,1)}