Consider the following true or false statements. Circle your answer. If a statement is TRUE then give a brief explanation of why it is true. If a statement is FALSE then provide an explanation or a counterexample. (a) If F is conservative then v x F = 6'. TRUE FALSE (b) If V (V x F) = 0 for any 0'2 vector eld on R3. TRUE FALSE ((3) If c is a closed curve then If F . ds = 0. c TRUE FALSE ((1) curl(div(F)) = 6 everywhere. TRUE FALSE (e) If F = (P, Q) and P3, = 62,; then F is conservative. TRUE FALSE