Problem 1: Use Mathematica After performing one of the Euler angle rotation transformation, if a transformation is done in the fixed frame (per-multiplication), about which axis does the rotation happen? 1. Draw base frame (color Black) 2. Draw second frame after Euler transformation (color Red) 3. Do a pre multiplication by a known rotation matrix and draw a third frame (color Blue) 4. Observe about which axis does the pre-multiplication rotation occurs? Hints: Write a function that draws the coordinate frame with a specific color, use Module[().] Use the function Manipulate[,{}] to animate the rotations Sample output: 10 0.5 0.0 -1.0 0 05 0.0 -0.5 -1.0 -1.0 Problem 1: Use Mathematica After performing one of the Euler angle rotation transformation, if a transformation is done in the fixed frame (per-multiplication), about which axis does the rotation happen? 1. Draw base frame (color Black) 2. Draw second frame after Euler transformation (color Red) 3. Do a pre multiplication by a known rotation matrix and draw a third frame (color Blue) 4. Observe about which axis does the pre-multiplication rotation occurs? Hints: Write a function that draws the coordinate frame with a specific color, use Module[().] Use the function Manipulate[,{}] to animate the rotations Sample output: 10 0.5 0.0 -1.0 0 05 0.0 -0.5 -1.0 -1.0