PROBLEM SET 1: VECTOR ANALYSIS Identities. Prove the following identities: V(A . B) = Ax (V x B) + Bx (VxA) + (A . V)B + (B . V)A (5pts) (1.1) V . (A x B) = B . (Vx A) - A . (VxB) (7pts) (1.2) Vx (A x B) = (B . V)A - (A . V)B + A(V . B) - B(V . A) (8pts) (1.3) SHOW YOUR COMPLETE SOLUTION AND WRITE YOUR SOLUTION ON A PAPER