#Orthogonal Problem
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Well you want to find a vector that is orthogonal to all the vectors in the column space of your matrice
So you can let v=(x,y,z,t) and, knowing the vector v is orthogonal to all the vectors of the column of your matrice the dot product of v and the vectors is 0
So you’ll have a linear system to solve
(Which you can solve using a matrice or using Gaussian operations)
We never learned gaussian operations because my class is the less advanced one but ill try solving with matrices (not sure I know how to do that)