Which of the following is the correct formula for the curvature $\kappa$ of a parametric curve $\mathbf{r}(t)$ in 3D space?
Question 2
Given a vector function $\mathbf{r}(t) = \langle t, t^2, t^3 \rangle$, what is the curvature $\kappa(t)$ at $t=1$?
Question 3
Which of the following best describes the unit tangent vector $\mathbf{T}(t)$ of a curve $\mathbf{r}(t)$?
Question 4
If $\mathbf{r}(t)$ is a curve in 3D space and $\mathbf{T}(t)$ is the unit tangent vector, which of the following gives the unit normal vector $\mathbf{N}(t)$?
Question 5
For a curve $\mathbf{r}(t)$, the binormal vector $\mathbf{B}(t)$ is defined as which of the following?
Curvature And The Tnb Frame Quiz — High School Calculus 3 | A-Warded
