The vectors a=⟨1,1,0⟩\mathbf{a} = \langle 1, 1, 0 \ranglea=⟨1,1,0⟩, b=⟨0,1,1⟩\mathbf{b} = \langle 0, 1, 1 \rangleb=⟨0,1,1⟩, and c=⟨1,0,1⟩\mathbf{c} = \langle 1, 0, 1 \ranglec=⟨1,0,1⟩ form a parallelepiped. What is its volume?
111
222
222\sqrt{2}22
444