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Really quick - on 1. the xmcos(wt+p)...define more clearly xm.
For the work question: W=integral(F.dx)|L-0. It's pretty straight forward.
dot product = mag(a)mag(b)cos(theta).
cross product is another vector. you can calculate its magintude to be a scalar quantity, but how you interpret the answers you have given is up to you. ie. none of them is a vector - so what does "value" of AxB mean?
the other two i'll have to think about - it's been a while since i've looked at some of these formulae.
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