A particle moves along the path r(t)=⟨t,t2,0⟩\mathbf{r}(t) = \langle t, t^2, 0 \rangler(t)=⟨t,t2,0⟩. Find the tangent vector r′(t)\mathbf{r}'(t)r′(t).
⟨1,2t,0⟩\langle 1, 2t, 0 \rangle⟨1,2t,0⟩
⟨0,2,0⟩\langle 0, 2, 0 \rangle⟨0,2,0⟩
⟨1,t2,0⟩\langle 1, t^2, 0 \rangle⟨1,t2,0⟩
⟨t,2t,0⟩\langle t, 2t, 0 \rangle⟨t,2t,0⟩