Problem 1: A vector has the coordinates of V [10, 20, 301 in frame (B) Given the following homogeneous transformation between frames (A) and (B), find the coordinates of this vector in frame (A) i.e, find VA. 0.866 0.500 0.000 11.01 HA 0.500 0.866 0.000H3.0 0.000 0.000 1.000 9.0 Problem 2: HR, as given below, denoes the homogeneous transformation matrix between frame (B) and frame (A) Find the (2.4) entry of Ha 0.25 0.43 0.86 5.07 | 0.87-0.50 0.00-4.0 0.43 0.75 0.50 3.0 L00 O Problem 3: Find R giving the following transformations. 1 00 1V3 o 01 100 Problem 4 (Rotation w.r.t. Current Frame, Frame LB) is located initially coincident with frame (A) l) We rotate (B) about 2a by 30 2) Then we rotate the resulting frame aboutby 45 Yope e t omncalvatie of eah enry or Find the composite rotation matix R