Compute 2u−3v2\mathbf{u} - 3\mathbf{v}2u−3v where u=⟨1,2⟩\mathbf{u} = \langle 1, 2 \rangleu=⟨1,2⟩ and v=⟨2,−1⟩\mathbf{v} = \langle 2, -1 \ranglev=⟨2,−1⟩.
⟨−4,7⟩\langle -4, 7 \rangle⟨−4,7⟩
⟨4,7⟩\langle 4, 7 \rangle⟨4,7⟩
⟨−4,−7⟩\langle -4, -7 \rangle⟨−4,−7⟩
⟨8,1⟩\langle 8, 1 \rangle⟨8,1⟩