Let W=span{(1,0,0),(1,1,0)}W = \text{span}\{(1, 0, 0), (1, 1, 0)\}W=span{(1,0,0),(1,1,0)} be a subspace of R3\mathbb{R}^3R3. What is the orthogonal complement W⊥W^{\perp}W⊥?
The line spanned by (0,0,1)(0, 0, 1)(0,0,1)
The line spanned by (1,0,0)(1, 0, 0)(1,0,0)
The plane z=0z = 0z=0
The subspace {(x,y,z):x=0,y=0}\{(x, y, z) : x=0, y=0\}{(x,y,z):x=0,y=0}