Area of a rectangle having vertices $A, B, C$ and $D$ with position vectors $ -\hat i + \large\frac{1}{2}$$ \hat j + 4\hat k, \: \hat i +\large \frac{1}{2}$$ \hat j + 4\hat k, \: \hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ and $-\hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ respectively is

Question

\[ \begin{array}{1 1} (A) \;\frac{1}{2} \qquad &(B) \;1 \qquad \\ (C) \;2 \qquad & (D)\;4 \end{array} \]