Question: Find the area of the surface over the part of the plane:

\[r\,\left( \,u,\ v\, \right)\quad =\quad u\ i\quad +\quad 2\,v\ j\quad -\quad v\ k\quad \quad where\ 0\ \le \ u\ \le \ 4\quad and\quad 0\ \le \ v\ \le \ 2\]