How to draw vectors (physical 2D/3D vectors) in MATLAB?

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I want to know the simplest way to plot vectors in MATLAB. For example:

a = [2 3 5];
b = [1 1 0];
c = a + b;

I want to visualize this vector addition as head-to-tail/parallelogram method. How do I plot these vectors with an arrow-head?

6 Answers
a = [2 3 5];
b = [1 1 0];
c = a+b;

starts = zeros(3,3);
ends = [a;b;c];

quiver3(starts(:,1), starts(:,2), starts(:,3), ends(:,1), ends(:,2), ends(:,3))
axis equal

I agree with Aamir that the submission arrow.m from Erik Johnson on the MathWorks File Exchange is a very nice option. You can use it to illustrate the different methods of vector addition like so:

  • Tip-to-tail method:

    o = [0 0 0];  %# Origin
    a = [2 3 5];  %# Vector 1
    b = [1 1 0];  %# Vector 2
    c = a+b;      %# Resultant
    arrowStarts = [o; a; o];        %# Starting points for arrows
    arrowEnds = [a; c; c];          %# Ending points for arrows
    arrow(arrowStarts,arrowEnds);   %# Plot arrows
    
  • Parallelogram method:

    o = [0 0 0];  %# Origin
    a = [2 3 5];  %# Vector 1
    b = [1 1 0];  %# Vector 2
    c = a+b;      %# Resultant
    arrowStarts = [o; o; o];        %# Starting points for arrows
    arrowEnds = [a; b; c];          %# Ending points for arrows
    arrow(arrowStarts,arrowEnds);   %# Plot arrows
    hold on;
    lineX = [a(1) b(1); c(1) c(1)];  %# X data for lines
    lineY = [a(2) b(2); c(2) c(2)];  %# Y data for lines
    lineZ = [a(3) b(3); c(3) c(3)];  %# Z data for lines
    line(lineX,lineY,lineZ,'Color','k','LineStyle',':');  %# Plot lines
    

I'm not sure of a way to do this in 3D, but in 2D you can use the compass command.

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