Given u=(1,2)u = (1, 2)u=(1,2) and v=(3,−1)v = (3, -1)v=(3,−1) in R2\mathbb{R}^2R2, find the projection of uuu onto vvv.
⟨3,−1⟩\langle 3, -1 \rangle⟨3,−1⟩
⟨12,−12⟩\langle \frac{1}{2}, -\frac{1}{2} \rangle⟨21,−21⟩
⟨35,−15⟩\langle \frac{3}{5}, -\frac{1}{5} \rangle⟨53,−51⟩
⟨310,−110⟩\langle \frac{3}{10}, -\frac{1}{10} \rangle⟨103,−101⟩