Vector Derivative and Tangent – Calculate a unit tangent vector to a curve in a vector presentation – Exercise 3846

Exercise

Calculate a unit tangent vector to the curve:

\vec{r}(t)=2\ln(t+1)\vec{i}+t^2\vec{j}+\frac{1}{2}t^2\vec{k}

At a point corresponding to t = 1.

Final Answer

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Solution

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