Given vectors u=⟨1,2,3⟩\mathbf{u} = \langle 1, 2, 3 \rangleu=⟨1,2,3⟩ and v=⟨4,5,6⟩\mathbf{v} = \langle 4, 5, 6 \ranglev=⟨4,5,6⟩, calculate the cross product u×v\mathbf{u} \times \mathbf{v}u×v.
⟨−3,6,−3⟩\langle -3, 6, -3 \rangle⟨−3,6,−3⟩
⟨−1,2,−1⟩\langle -1, 2, -1 \rangle⟨−1,2,−1⟩
⟨3,−6,3⟩\langle 3, -6, 3 \rangle⟨3,−6,3⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩