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4
votes
1answer
119 views

Defining a vector function in terms of the unit vectors $\bf{i}$, $\bf{j}$, $\bf{k}$

I am given the following equation for the position of a particle: ${\bf r}(t) = \sin(11t)\ {\bf i} + t^4\ {\bf j} + \cos (11 t)\ {\bf k}$ I seek to: Find the equation of the tangent line at $t=0.2$....
3
votes
0answers
659 views

How to visualize the vorticity of a 3D velocity field? [closed]

I sample a snapshot from a system with 50 particles including their position and instant velocities. The snapshot is a list of 3 position and 3 velocities values per particle. i.e. 50 lines each of ...
2
votes
1answer
777 views

Rotating a set of 3D points against an arbitrary axis

I want to rotate a list of 3D points around unit vector (1,0,1) by the angle of Pi. How can I accomplish it?
0
votes
1answer
528 views

Projection of a set of 4D points to the 3D space

Consider the following set of points in the 4D space: ...
2
votes
3answers
1k views

How do you show a cone inside of a sphere?

I have a sphere of radius 5 and a cone (i.e. z=√(x^2+y^2)) inside of it. I can show them separately, but I'd like to show them together. I've tried a few tricks with opacity, implicit specifications, ...