Question
Find $\|\vec{r}(t)\|$.$$\vec{r}(t)=\left\langle\cos t, t, t^{2}\right\rangle$$
Step 1
Recall that the magnitude of a vector $\vec{v} = \langle a, b, c \rangle$ is given by $\|\vec{v}\| = \sqrt{a^2 + b^2 + c^2}$. So, for the given vector $\vec{r}(t) = \langle \cos t, t, t^2 \rangle$, we have: Show more…
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