489 views

Simple Plot of Vector

I have a vector $<x(t),y(t),z(t)>$ constrained to a unit sphere. I am trying to plot what the vector looks like as time progresses. What would be the easiest approach to visualizing this? I ...
1k views

Marking specific points on a 3D curve

Here is the curve below. (written as a position vector) r = {Cos[7 Pi*t], Cos[6.2*Pi*t], 2.5*t} ParametricPlot3D[r, {t, 0, 2}] I want to know how I can mark ...
1k views

Tangent to a circle

I am trying to show vector of fixed length which is the tangent to a circle which rotates. Any suggestions on how to simplify this ? My question is not about using Manipulate etc but more is there an ...
208 views

How can I animate the plot of this curve also showing its tangent/normal vectors at each point?

I want to animate the curve given by $\alpha(t) = (u(t), v(t))$ being traced out (and also showing the tangent and normal vector at each point), where $u$ and $v$ are the solutions below ...
500 views

Find normal vector of path

I created a path: ...
3k views

How to plot and visualize a single linear vector in 3D? [closed]

I have a vector (in physic) designated as F1=250cos(60)i+250cos(60)j+250cos(45)k, and i would like to see it in a 3D graphic with the axis centered at the origin, after what i would include other ...
2k views

Finding the Tangent to the Curve [duplicate]

I could use some help with this. This is my first time using mathematica and im trying to get use to the coding. Find an equation of the tangent to the curve and graph the curve and tangents. x=sin(...
2k views

Normal and Tangent of Acceleration in 3D

I am trying to find the normal and tangent of acceleration. I know the formula for the tangent of acceleration is $((Acceleration . Velocity)/(Velocity.Velocity))*Velocity$ and the normal of ...
483 views

Differentiating space curves

I'm trying to do some very basic differential geometry of space curves. For example, a space curve $\gamma:\mathbb R\to\mathbb R^3$ has unit tangent and normal vectors given by t(s)=\frac{\gamma'(s)}...
188 views

Adding texture to Tube[]

Continuing from here, I would like to Texture lines with thickness. I tried using the normal and the binormal from ...
1k views

How to plot a two-dimensional position vector as function of time?

I got to a point where I have $x$ and $y$ coordinates of a position vector written as a function of time. x[t_]:=t^2-67; y[t_]:= Sin[t] t^4 + 5 t^2; Now my idea ...
671 views

Plotting Complex Numbers as "Arrows" on the Complex Plane

Given the following complex numbers (defined as the values of two functions f and g defined only on the points ...
396 views

Frenet frame as basis in a product

Let $\gamma (t)$ be an embedded curved in $\mathbb{R}^3$ and let $T(t),\ N(t)$ and $B(t)$ be its Frenet frame. Let C be a unit circle (or another closed embedded curve in $\mathbb{R}^3$) and fix a ...