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

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Lee Ming De
Lee Ming De on 7 Nov 2019
Edited: Jan on 7 Nov 2019
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
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.

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