3. Suppose we have a coordinate system (x, y, z) with the origin at one corner...

3. Suppose we have a coordinate system (x, y, z) with the origin at one corner of a cube, and the axes parallel to the edges of the cube. We want to perform a rotation to a coordinate system (x' , y' , z' ), where the x 0 axis is along the diagonal of the cube, and the y' axis remains in the original x ? y plane.

(a) (0.5 points) Using the Z-Y’-Z” Euler angle convention that is used in Taylor, describe the necessary steps to achieve this rotation and identify the necessary Euler angles.

(b) (0.5 points) Using the steps you identified in part a, obtain the total rotation matrix.

(c) (0.5 points) Show that if you reverse the order of the necessary steps that you do not obtain the same rotation matrix.

Expert Solution

genius_generous answered 2 years ago

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