Question

Working out the The Unit Tangent $T$ and the Principal Normal $N$ of a curve $\vec{C}(t)$ = $(\frac{t^3}{3}, 2t-1,t^2+2)$

score 21 · Answer 1 · 2020-12-22 18:48:28

21

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Working out the The Unit Tangent $T$ and the Principal Normal $N$ of a curve $\vec{C}(t)$ = $(\frac{t^3}{3}, 2t-1,t^2+2)$

Published on 22 Dec 2020 - 18:48

score 160 · Answer 2 · 2020-12-22 20:24:53

160

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Finding the Frenet frame field of a curve $\vec{C}(t)$ = $(\frac{t^3}{3}, 2t-1,t^2+2)$

Published on 22 Dec 2020 - 20:24

score 29 · Answer 3 · 2020-12-23 18:31:47

29

Views

What is $\left( \frac{t^2}{t^2+2}i+\frac{2}{t^2+2}j+\frac{2t}{t^2+2}k \right) \times \frac{2ti-2tj-(t^2+2)k}{t^2+2}$?

Published on 23 Dec 2020 - 18:31

score 122 · Answer 4 · 2020-12-29 18:19:22

122

Views

Why is $d(T \times N)/ds$ orthogonal to the unit tangent vector $T$?

Published on 29 Dec 2020 - 18:19

score 257 · Answer 5 · 2021-01-30 05:14:22

257

Views

Constant orthonormal frame

Published on 30 Jan 2021 - 5:14

score 282 · Answer 6 · 2021-02-02 03:39:52

282

Views

Finding the curvature & torsion of the derivative of a smooth regular curve in $\mathbb{R}^3$

Published on 02 Feb 2021 - 3:39

score 176 · Answer 7 · 2021-02-07 00:17:20

176

Views

Proving that two curves are orthogonal

Published on 07 Feb 2021 - 0:17

score 194 · Answer 8 · 2021-02-07 13:18:29

194

Views

Curvature formula for general regular curve

Published on 07 Feb 2021 - 13:18

score 355 · Answer 9 · 2021-03-29 15:30:46

355

Views

Parametric equations for a curved helix in 3D

Published on 29 Mar 2021 - 15:30

score 616 · Answer 10 · 2021-04-01 01:41:40

616

Views

α is a plane curve iff the binormal vector is constant

Published on 01 Apr 2021 - 1:41

score 95 · Answer 11 · 2021-04-05 09:28:07

95

Views

Conditions for Bishop frame along closed curve to be closed

Published on 05 Apr 2021 - 9:28

score 22 · Answer 12 · 2021-05-02 02:36:42

22

Views

$\|\mathbf{r}'\|$ in terms of Frenet-Serret Frame variables

Published on 02 May 2021 - 2:36

score 163 · Answer 13 · 2021-05-05 12:52:07

163

Views

Projection of moving point onto static curve and respective velocities / Frenet Coordinates

Published on 05 May 2021 - 12:52

score 349 · Answer 14 · 2021-05-21 10:29:18

349

Views

Questions about Frenet Frames

Published on 21 May 2021 - 10:29

score 21 · Answer 15 · 2021-06-15 06:18:58

21

Views

What is $W$ when $W\times X = X'$ for every $X\in \{T, N, B\}$?

Published on 15 Jun 2021 - 6:18

List Question

Working out the The Unit Tangent $T$ and the Principal Normal $N$ of a curve $\vec{C}(t)$ = $(\frac{t^3}{3}, 2t-1,t^2+2)$

Finding the Frenet frame field of a curve $\vec{C}(t)$ = $(\frac{t^3}{3}, 2t-1,t^2+2)$

What is $\left( \frac{t^2}{t^2+2}i+\frac{2}{t^2+2}j+\frac{2t}{t^2+2}k \right) \times \frac{2ti-2tj-(t^2+2)k}{t^2+2}$?

Why is $d(T \times N)/ds$ orthogonal to the unit tangent vector $T$?

Constant orthonormal frame

Finding the curvature & torsion of the derivative of a smooth regular curve in $\mathbb{R}^3$

Proving that two curves are orthogonal

Curvature formula for general regular curve

Parametric equations for a curved helix in 3D

α is a plane curve iff the binormal vector is constant

Conditions for Bishop frame along closed curve to be closed

$\|\mathbf{r}'\|$ in terms of Frenet-Serret Frame variables

Projection of moving point onto static curve and respective velocities / Frenet Coordinates

Questions about Frenet Frames

What is $W$ when $W\times X = X'$ for every $X\in \{T, N, B\}$?

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