“…q 1i is measured from the x i -axis to AB , q 2i is defined from the extended line of AB to the line defined by the intersection of the plane of the parallelogram and the x i -z i plane, and q 3i is measured from the y i direction to For inverse kinematic, the position vector p of the mobile platform is given and the problem is to find the joint angles 11 q , 12 q , and 13 q required to bring the mobile platform to the desired position. The solutions for 11 q , 12 q , and 13 q are given by [21]. With considering verification results, it c that both of two methods results are as clo 3 n ) i q (2) 2i q and 3i q , there le platform in the studies in order to (3) x, y, and z are in ers of Table I With c stands for cosine, s vectors in (6) …”