Finding the Principal Unit Normal Vector In Exercises 15, 16, 17, 18, 19, and 20, find the principal unit normal vector to the curve at the specified value of the parameter. 15. r(t) = ti + 1/2 t^2 j, t = 2
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\[ \mathbf{r}(t) = t \mathbf{i} + \frac{1}{2} t^2 \mathbf{j} \] \[ \mathbf{r}'(t) = \frac{d}{dt}(t) \mathbf{i} + \frac{d}{dt}\left(\frac{1}{2} t^2\right) \mathbf{j} = \mathbf{i} + t \mathbf{j} \] Show moreā¦
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