# Tagged Questions

Mathematical vectors, operations on vectors and vectorized programming.

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### Plotting a vector function composed of piecewise scalar functions

I am relatively new to Mathematica, and am having difficulty doing something that is conceptually very simple. I am trying to plot a vector field in which the vector function is composed of piecewise ...
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### Plotting a complicated 3D wave on the surface of a sphere [duplicate]

Suppose you have a vectorial wave described by a complicated function of time and cartesian coordinates $t$, $x$, $y$ $z$ (very simple example below) : ...
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### NDSolve and a vector function [duplicate]

I'm trying to solve a set of differential equations which include a numerical function that takes a vector and returns a vector. ...
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### How to define a set of two random orthogonal unit vectors?

I need to define a random set of two orthogonal unit vectors. The code below doesn't give proper unit and orthogonal vectors : ...
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### Plotting a 3D vector field on 2D plane

I want to visualize vector field that is of the form $(v_1(x,y), v_2(x,y), v_3(x,y))$, i.e. there is a three component vector that depends on only two coordinates $x$ and $y$ in the real plane. There ...
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### How to pack arguments of a function into a vector for brevity? [closed]

I have a function like the following one: F[a_, b_, c_, d_] := Product[f[x, y, z, j, i], {j, a, b}, {i, c, d}] where ...
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### Integrating a gradient and matching terms automatically

I am trying to integrate a function $\nabla w(x,y)$ indefinitely knowing both components of $\nabla w(x,y)$. I have a function dw[x_,y_] that I have defined. I then ...
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### Simplify expression?

Suppose I have expressions that involve terms like: p1.p1+p2.p2+p3.p3+p4.p4 p1, p2, p3, and p4 are all elements of an array: ...
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### Errors Solving Elliptic PDES with FEM

I am trying to solve the equation below governing transversely isotropic plane strain in cartesian coordinates with the given boundary conditions based on code found here using Mathematica 10.1 on OSX ...
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### How to a convert a 2D vector into an angle [closed]

How do you calculate the angle between the line from the origin to a point $(x,y)$ and the horizontal axis?
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### Color vectors according to a user-defined function

V[x_,z_]:=x/Sqrt[x^2+z^2]; Ex[x_,z_]=-D[V[x,z],x]; Ez[x_,z_]=-D[V[x,z],z]; The electric field components (Ex,Ez) are to be plotted as a vector field in the x-z ...
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### Cross product of three vectors

I am following the answer of Jens from following post: How do I simplify a vector expression? vec /: Cross[vec[x_], HoldPattern[Cross[y__]]] := I want to create ...
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### Draw Vectors in Spherical Shell and then Animate

I want to draw three vectors inside a spherical shell. One of the vectors will be moving, the others will be stationary. However, the animation is the next step. For now, I would like to get the ...
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### Factor vector out of a matrix

I am wondering how to factor a[1],a[2],...,a[4] out of sim so that I can write sim as the ...
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### Is it possible to do vector calculus in Mathematica?

I am trying to rearrange and manipulate some vector differential equations in Mathematica. As far as I understand you have to tell Mathematica that a variable is a vector by specifying the components ...
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### Plotting Phase Space [duplicate]

I have these two Equations \begin{align} x'(t)&=\sin(y)\\ y'(t)&=\cos(x) \end{align} and I'm trying to plot the phase space(plane) for this system... I've tryed Equationtrekker but can't ...
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### Plot a vector field over a line

This seemingly simple problem is giving me some trouble. I need to plot a vector field on a line, and for that I'm following what I found here. I try to create a mesh that contains two points and just ...
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### Given vector of function plot each of them separately? [closed]

At the moment, I am trying to plot a vector of functions which consists of the change along $x$, $y$, and $z$. Is it possible in Mathematica to give a vector of functions and plot them separately ...
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### How to avoid 0 OverVector[F] to be evaluated as 0?

I am fairly new in Mathematica and I am trying to work with scalars and vectors. I decided to denote vectors using OverVector (as example, ...
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### How to adjust vector scaling with a specific aspect ratio

I'm trying to create a vector plot with uniform vector scaling. I need the x and y ranges to be very different, because I need to highlight the angle between the vectors and the y=0 axis. This means ...
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### How to obtain the gradient of a function as a function?

The Grad function allows me to get the gradient of a function like this: ...
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### ListPlot vector 3D circle line

I got a 2D vector with the following code. ...