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 24 · Answer 1 · 2026-04-17 14:07:00

24

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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 17 Apr 2026 - 14:07

score 163 · Answer 2 · 2026-04-17 10:33:40

163

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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 17 Apr 2026 - 10:33

score 32 · Answer 3 · 2026-04-17 12:40:55

32

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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 17 Apr 2026 - 12:40

score 125 · Answer 4 · 2026-04-16 11:21:43

125

Views

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

Published on 16 Apr 2026 - 11:21

score 260 · Answer 5 · 2026-04-15 16:04:20

260

Views

Constant orthonormal frame

Published on 15 Apr 2026 - 16:04

score 285 · Answer 6 · 2026-04-12 19:30:29

285

Views

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

Published on 12 Apr 2026 - 19:30

score 179 · Answer 7 · 2026-04-14 08:09:12

179

Views

Proving that two curves are orthogonal

Published on 14 Apr 2026 - 8:09

score 197 · Answer 8 · 2026-04-15 07:53:18

197

Views

Curvature formula for general regular curve

Published on 15 Apr 2026 - 7:53

score 358 · Answer 9 · 2026-04-14 17:07:50

358

Views

Parametric equations for a curved helix in 3D

Published on 14 Apr 2026 - 17:07

score 621 · Answer 10 · 2026-04-17 13:29:50

621

Views

α is a plane curve iff the binormal vector is constant

Published on 17 Apr 2026 - 13:29

score 98 · Answer 11 · 2026-04-11 22:00:03

98

Views

Conditions for Bishop frame along closed curve to be closed

Published on 11 Apr 2026 - 22:00

score 25 · Answer 12 · 2026-04-13 01:37:17

25

Views

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

Published on 13 Apr 2026 - 1:37

score 166 · Answer 13 · 2026-04-15 11:26:53

166

Views

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

Published on 15 Apr 2026 - 11:26

score 353 · Answer 14 · 2026-05-10 08:10:24

353

Views

Questions about Frenet Frames

Published on 10 May 2026 - 8:10

score 24 · Answer 15 · 2026-04-11 21:33:58

24

Views

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

Published on 11 Apr 2026 - 21:33

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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