Marsden and Tromba-from which I learned vector analysis under the eminent differential geometer Josef Dodziuk-indeed has a full solutions manual that's available from the publishers. It's actually a pretty good book,if overpriced. You can get a better book for fraction of the price from Dover: Vector Calculus by by Peter Baxandall and Hans Liebeck. It's a little more difficult then Marsden/Tromba and requires some linear algebra as prerequisite, but's beautifully written with many, many graphical examples,good exercises and distinguishes many of the finer points of calculus of several variables in 2 and 3 space. It's certainly worth the effort and you should get a copy as collateral reading.