1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution As you can see, the solution is shown just below the question. Essentially, I don't understand how the x, y and z component of the vector field has been separated because the numerator of the vector field's fraction is: (x^2 + y^2 + z^2)^(1/2) It seems like they've just taken x^2 out and square rooted it to get 'x', but you can't do that, can you?