Given u⃗=⟨1,0⟩\vec{u} = \langle 1, 0 \rangleu=⟨1,0⟩ and v⃗=⟨0,1⟩\vec{v} = \langle 0, 1 \ranglev=⟨0,1⟩, what is the cross product u⃗×v⃗\vec{u} \times \vec{v}u×v in R3\mathbb{R}^3R3?
⟨0,0,1⟩\langle 0, 0, 1 \rangle⟨0,0,1⟩
⟨0,0,−1⟩\langle 0, 0, -1 \rangle⟨0,0,−1⟩
111
⟨1,1,0⟩\langle 1, 1, 0 \rangle⟨1,1,0⟩