?Given \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+t \mathbf{k}\), find the unit

Chapter 3, Problem 119

(choose chapter or problem)

Given \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+t \mathbf{k}\), find the unit tangent vector \mathbf{T}(t). The graph is shown here:

Text Transcription:

\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+t \mathbf{k}

\mathbf{T}(t)

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