Given v=⟨1,1,1⟩\mathbf{v} = \langle 1, 1, 1 \ranglev=⟨1,1,1⟩, what is the projection of v\mathbf{v}v onto e1=⟨1,0,0⟩\mathbf{e}_1 = \langle 1, 0, 0 \ranglee1=⟨1,0,0⟩?
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨1,0,0⟩\langle 1, 0, 0 \rangle⟨1,0,0⟩
⟨13,13,13⟩\langle \frac{1}{3}, \frac{1}{3}, \frac{1}{3} \rangle⟨31,31,31⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩