The position vectors of the points $A$ and $B$ are $\vec{a}$ and $\vec{b}$ respectively. If the position vector of the point $C$ is $\frac{\vec{a}}{2} + \frac{\vec{b}}{3}$,then:

• A
  $C$ lies inside $\triangle OAB$
• B
  $C$ lies outside $\triangle OAB$ but inside $\angle AOB$
• C
  $C$ lies outside $\triangle OAB$ but inside $\angle OAB$
• D
  $C$ lies outside $\triangle OAB$ but inside $\angle OBA$