Question 1172353
.


(0)    When a person asks  "solve the question",  it means that this person  NEVER  read from any textbook in  Math 

             (neither in  English  NOR  in  his  (or her)  native language)  and knows equally  NEITHER  English  NOR  Math, 

             NOR  his  (or her)  native language.



(a)   If you don't know the definition of curl as a determinant,  then open any relevant textbook on  Multivariable  Calculus 

        (to which your question does relate)  and learn it from there.


            If,  in opposite,  you are familiar with this definition,  use it.



(b)    I am 129% sure that the formula is written incorrectly in this part of your post.



(c)    From elementary properties of determinant, the answer is    {{{2^4/(2*3)}}} = {{{8/3}}}.



(d)    More than million ways.  More precisely, infinitely many ways.