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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.

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