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5. (10 Points) Given the 3D vector [1 2 3], determine the vector when rotated 60 degrees around the z-axis. (I used MATLAB to help

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5. (10 Points) Given the 3D vector [1 2 3], determine the vector when rotated 60 degrees around the z-axis. (I used MATLAB to help me with the angles). 6. (10 Points) Write the quaternion for the following rotations in form (w,x,y,z]: a Unit quaternion, no rotation b 180 degrees around x axis c 90 degrees around z axis d -90 degrees around z axis 5. (10 Points) Given the 3D vector [1 2 3], determine the vector when rotated 60 degrees around the z-axis. (I used MATLAB to help me with the angles). 6. (10 Points) Write the quaternion for the following rotations in form (w,x,y,z]: a Unit quaternion, no rotation b 180 degrees around x axis c 90 degrees around z axis d -90 degrees around z axis

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