### Theory NO. 6 : A point projection matrix to a line (3D)

29Apr09

I was trying to get a matrix for a projection of any point to a line given by the following equotations:

After some time of research I’ve ended with the following result:

Let then

Of course the result isn’t new at all, it was just a big efford for me to do that at midnight – so I guess it may be worth saving it here.

Filed under: Mathematics, Problems, Science, Theory | 1 Comment

Tags: 3d, algebra, line, math, matrix, point, projection

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