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Very good post thats explain it: https://andrewharvey4.wordpress.com/2008/09/29/xyzw-in-opengldirect3d-homogeneous-coordinates/ Just in few words: 3x3 matrix is not enough to represent translation (move vector to new place), it just enough for rotation, just for it every one using 4x4 matrices, and w term should be 1.0 if you want translation affect your ...

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