Let a complex number be \( w = 1 - \sqrt{3} i \). Let another complex \( z \) be such that \( |zw| = 1 \) and \( \arg(z) - \arg w = \dfrac{\pi}{2} \). Then the area of the triangle with vertices origin, \( z \) and \( w \) is equal to:
\( \dfrac{1}{2} \)
\( 4 \)
\( 2 \)
\( \dfrac{1}{4} \)