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Ps Text 2. Consider two coordinate systems { A }and { B }.{ B }initially coincides with {A}.{B}is obtained from {A}by sliding along the direction

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2. Consider two coordinate systems {A}and {B}.{B}initially coincides with {A}.{B}is obtained from {A}by sliding along the direction of a vector Av=[0.30.40.866]Tfor a distance of 5 units, rotating about Avby an angle of 20, and rotating about another vector Aw=[1.71.02.0]Tby an angle of 50. (a) Find the unit quaternion that represents the orientation of {B}relative to {A}. (b) Compute the origin of the coordinate system {B}. (c) Compute the homogeneous transformation BAT. (d) Treating Avand Awas position (line) vectors, compute Bvand Bw

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