Given the vector u=<3,1,1>,v=<-2,0,4>. A) compute the area of the parallelogram determined by u and v . B) compute the vector. UxV

The area of the parallelogram is

|u x v|

in B) why are you writing the vectors using capitals ?
Is there a change in meaning?

You must have learned some algorithm for finding the cross-product,
I got <4, -14, 2> for the above cross-product,
so the area is
√(16+196+4) = √216 or 6√6