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Plotting line perpendicular to another on the endpoint

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Garrett Purvis
Garrett Purvis on 9 May 2019
Answered: Ryan Klots on 17 May 2019
Hello! I am looking to plot the perpendicular of my line at the endpoint of my line, forming a "T" shape.
My line starts at [0,0] and ends at [x,y] where
O = 0:pi/100:2*pi;
a = str2num(get(handles.Anibox,'String'));
n = str2num(get(handles.Numsides,'String'));
x = cos(O)+(a.*cos((n+1).*O));
y = sin(O)+(a.*sin((n+1).*O));
Is there a way to plot a line that is perpendicular to my line, and intersects at [x,y]?
also, would there be a way to control how long this line is?
Thank you for your help!

Answers (1)

Ryan Klots
Ryan Klots on 17 May 2019
Note that any vector perpendicular to lies in the span of since . We can take advantage of this fact to construct the "T" bar.
Suppose we want each side of our "T" bar to have length r. We can constuct a vector of length r that is perpendicular to via the formula where is the norm of .
Then we can add this vector and its negative to in order to construct the endpoints of the "T" bar:

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