(b) Encoding Rotations Write each of the following rotations out as a normalized quaternion. Representations should...

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(b) Encoding Rotations Write each of the following rotations out as a normalized quaternion. Representations should be given as sums of real and ijk components. 1. Rotation by T radians about the ã axis. 2. Rotation by 90 degrees about the axis axis. 3. Rotation by radians about the axis (4, -3, 12). (c) Finding Inverses Find the inverses of all quaternions in Problem 2-3(b). (b) Encoding Rotations Write each of the following rotations out as a normalized quaternion. Representations should be given as sums of real and ijk components. 1. Rotation by T radians about the ã axis. 2. Rotation by 90 degrees about the axis axis. 3. Rotation by radians about the axis (4, -3, 12). (c) Finding Inverses Find the inverses of all quaternions in Problem 2-3(b).