Question 2: Solve The following [1 2 3] 1) Given that a tensor T has the matrix (T) = 4 5 6 find the dual vector. 17 8 9 2) Consider the motion: x1 = (1 + kt/1 + kt.)X2, X2 = X2, X3 = X3. Find the velocity field in spatial coordinates. 3) Given the following motions in rectangular coordinates: x1 = X+aX{t, x2 = X, k(X2 + X3)t, xz = X3 +k(X2 - X3)t. Show that every infinitesimal material volume with material coordinates (0,X2, X3 ) undergoes a rigid body displacement from the reference position to the position at t = 1/k