I am trying to learn more about Euler Angles so as to help myself in understanding how I can control my camera better in the game.
I came across the following formula that converts Euler Angles to rotation matrices:
In the equation, I could see that the first matrix from the left is the rotation matrix about x-axis, the second is about y-axis and the third is about z-axis.
From my understanding about ordinary matrix transformations, the later transformation is always applied to the right hand side. And if I'm right about this, then the above equation should have a rotation order starting from rotating about z-axis, y-axis, then finally x-axis.
But, from the symbols it seems that the rotation order start rotating about x-axis, then y-axis, then finally z-axis. What should the actual order of the rotation be?
Also, I am confuse about if the input vector, in this case, would be a row vector on the left, or a column vector on the right?