Using matlab to find vectors that are orthogonal to another vector.

Asked by Lee Ming De on 7 Nov 2019

Latest activity Edited by Jan on 7 Nov 2019

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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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Answer by Jan on 7 Nov 2019

Edited by Jan on 7 Nov 2019

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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.

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Lee Ming De (view profile)