Using the invariance property established in the preceding problem, express the product of...

Using the invariance property established in the preceding problem, express the product of inertia Ixy of an area A with respect to a pair of rectangular axes through O in terms of the moments of inertia Ix and Iy of A and the principal moments of inertia Imin and Imax of A about O. Use the formula obtained to calculate the product of inertia Ixy of the L3 × 2 ×  -in. angle cross section shown in Fig. 9.13A, knowing that its maximum moment of inertia is 1.257 in4.