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Vector Derivative and Tangent – Unit tangent vector to a curve in a vector presentation – Exercise 3842

Exercise

Calculate a unit tangent vector to the curve:

\vec{r}(t)=\sin t\vec{i}+e^t\vec{j}+t^2\vec{k}

At a point corresponding to t = 0.

Final Answer

\hat{p}=(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},0)

Solution

Coming soon…

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