. Consider a scenario where a control point C (x, y, z) is to be established from two fixed points A and B (referring to Figure 12.9) using GPS survey. The coordinates of the fixed points are given in a three-dimensional GPS system as: (A x = 402 351 m, y = -4 652 995 301 m, z = 4 349 760 778 m) (B x = 8086 032 m, y = -4 642 712 847 m, z = 4 360 439 083 m) The measured GPS baseline vectors are shown in Table 12.3, assuming the standard deviation of each observation is 0.010 m. Perform the following tasks: a) Compute the least squares adjusted coordinates of point C using the condition equations method b) Compute the standard deviations of the vector of the adjusted observations From To dx (m) dy (m) dz (m) C A -1116.452 -4596.161 -4355.906 C B 6567.231 5686.293 6322.392 B C -6567.231 -5686.303 -6322.381