Using matlab to find vectors that are orthogonal to another vector.
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Is there a way that matlab can be used to find a general solution for vectors that are orthogonal to another vector. (eg, (1,1) )? Without using matlab, i can get the general solution which is x =-y, but i cant find a way to do this using matlab.
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Accepted Answer
Jan
on 7 Nov 2019
Edited: Jan
on 7 Nov 2019
Do you mean 2D vectors?
v = rand(1, 2) % Any test vector
vp = [-v(2), v(1)]
dot(v, vp) % Orthogonal means: dot product is 0
So "x=-y" is a part of the solution. Add "y=x" and you get one of the two perpendicular vectors. -vp is the other one.
2 Comments
David Goodmanson
on 10 May 2023
Edited: David Goodmanson
on 10 May 2023
Hi O^2,
n = 5;
v = rand(n,1)
% make sure that v is a row vector, just in case it was a column vector
v = v(:).'
% find a set of n-1 mutually orthogonal column vectors
% that are all perpendicular to v.
n = null(v)
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