I want to rotate the Point $P (0.5, 1, 1.5)$ along three axis by 90°. For this I am searching the transformation matrix to do this. I know about the 3 standard matrices, but when I multiply these. I get three sequential rotations.
There the 3 standard rotation matrices: klick here. (I am not allowed to embedd images).
When I multiply these $R_z(90) \cdot R_y(90) \cdot R_x(90)$ and apply it to point $P(0.5, 1, 1.5)$:
$Rz(90) \cdot R_y(90) \cdot R_x(90) \cdot P$
I get the transformation visualized here using the red box, but I want to transform it along three axes at the same time (all 90°) as visualized by the blue box.
I am searching for the transformation matrix along all three axes at the same time.