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Question

asked 2021-09-15

Find the principal unit normal vector to the curve at the specified value of the parameter

\(\displaystyle{r}{\left({t}\right)}={t}{i}+{\frac{{{6}}}{{{t}}}}{j},{t}={3}\)

\(\displaystyle{r}{\left({t}\right)}={t}{i}+{\frac{{{6}}}{{{t}}}}{j},{t}={3}\)

asked 2021-09-23

Find the unit tangent and unit normal vectors T(t) and N(t). \(\displaystyle{r}{\left({t}\right)}={<}{t},{3}{\cos{{t}}},{3}{\sin{{t}}}{>}\)

asked 2021-09-21

Find a unit vector that has the same direction as the given vector. 8i-j+4k

asked 2021-06-07

Find the curve’s unit tangent vector. Also, find the length of the indicated portion of the curve.

\(r(t)=(2\cos t)i+(2\sin t)j+\sqrt{5}tk, 0\leq t\leq\pi\)

\(r(t)=(2\cos t)i+(2\sin t)j+\sqrt{5}tk, 0\leq t\leq\pi\)