Find the unit tangent vector to r(t)=⟨3t,4t,0⟩\mathbf{r}(t) = \langle 3t, 4t, 0 \rangler(t)=⟨3t,4t,0⟩ at t=1t=1t=1.
⟨3,4,0⟩\langle 3, 4, 0 \rangle⟨3,4,0⟩
⟨0.6,0.8,0⟩\langle 0.6, 0.8, 0 \rangle⟨0.6,0.8,0⟩
⟨0.8,0.6,0⟩\langle 0.8, 0.6, 0 \rangle⟨0.8,0.6,0⟩
⟨1,1,0⟩\langle 1, 1, 0 \rangle⟨1,1,0⟩