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drawVector- draws 2D or 3D vectors from specified points

version 1.2.2 (33.3 KB) by J. Benjamin Kacerovsky
Draws 3 arrows representing the basis vectors of an R3 coordinate system


Updated 18 Mar 2021

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drawVector - draws 2D or 3D vectors from specified points

drawOrdinates - draws 3 arrows representing the basis vectors of an R3 coordinate system

drawVector - is a very simple function to make drawing vectors using the
quiver and quiver3 functions a little more convenient

all this is to prepare the input from xyz triplets or lists of pints and
vectors and pass it into the quiver or quiver3 functions

I was just getting tired of typing it out every time

q=drawVector(points, vectors);
q=drawVector(points, vectors, color);
q=drawVector(points, vectors, color, weigth);

drawVector(points, vectors);
drawVector(points, vectors, color);
drawVector(points, vectors, color, weigth);

points - Nx3 (3D) or Nx2 (2D) matrix; rows correspond to points
if N==1 the same point will be used as origin for all vectors
vectors - Nx3 (3D) or Nx2 (2D) matrix; rows correspond to vectors
color - (optional) string ('r', 'red', etc), RGB triplet or
hexadecimal string; default='red
weight - (optional) scalar setting LineWidth and arrow head size; default=3;

for simple drawing the output does not have to be defined
defining the output, p, saves the graphics element to allow later editing

% draw 3 red vector arrows from 3 points
% red is the default color
p=[0 0 0; 0 1 1; 2 1 1];
v=[1 1 1; 2 3 -4; 1 0 0];
drawVector(p, v);
axis equal

% draw 3 blue vector arrows from a single point with wider lines
p=[2 1 1];
v=[1 1 1; 2 -3 -1; 1 0 0];
drawVector(p, v, 'blue', 5);
axis equal

% defining the output saves the graphics element and allows for later
% changes to quiver properties
p=[2 1 1];
v=[1 1 1; 2 -3 -1; 1 0 0];
q=drawVector(p, v, 'blue', 5);
axis equal

drawOrdinates - simple function to draw arrows representing the basis
vectors of any R3 coordinate system

Syntax: drawOrdinates
drawOrdinates(ord, ori)
drawOrdinates(ord, ori, ...)

this is a simple function to draw 3 vectors representing the axes of a
coordinate system
All this really does is prepare the inputs to pass them into the built-in
quiver3 function. I was just tired of typing it out all the time.

ord - ordinates; 3x3 matrix, each column represents one axis as a 1x3
vector. default x, y, z unit vectors at the origin ([1, 0, 0; 0, 1, 0; 0, 0, 1])
ori - origin; 1x3 matrix specifing the coordinates at which to draw;
default [0, 0, 0]
Optional Name-Value pairs
scale - scalar; factor by which to scale the length of each arrow;
weight - scalar; defines lineweight and arrow head size; default=3
colors - 1x3 list of strings defining colors for each vector;
default=['r', 'b', 'g']);
alternative: 3x3 matrix, where each row defienes one arrow color as
an RGB triplet

no outputs need to be specified

Example 1:
% calling the function without specifying any input will draw 3 unit
% vectors along the x, y, and z axis at the origin

Example 2:
% vec=[3, 4, 5]; % start with a random vector
% vec=vec/norm(vec); % normalize
% ord=null(vec); % use null(x) to find 2 orthonormal vectors
% ord=horzcat(vec', ord); % concatenate matrix of orthonormal basis vectors
% % draw new ordinates with default settinngs at the origin
% drawOrdinates(ord);
% axis equal
% % draw new ordinates centered at [2, 10, 3] with a changed appearence
% drawOrdinates(ord, [2, 10, 3], 'weight', 5, 'scale', 5, 'colors', [0 0 1; 0 0 1; 0 0 1]);
% axis equal

Cite As

J. Benjamin Kacerovsky (2021). drawVector- draws 2D or 3D vectors from specified points (, GitHub. Retrieved .

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MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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