The components of a displacement field are (in meters): (a) Consider two points (2, 5, 7) and (3, 8, 9) in the undeformed configuration. Find the change in distance between these points. (b) Compute the components of the Lagrangian and the infinitesimal strain tensors. (c) Compute the components of the rotation tensor. (d) Compute, and compare, the Lagrangian strains and the infinitesimal strains at location (2, -1, 3). (e) Does this displacement field satisfy compatibility