Step 1: Understanding spin quantum number.
The spin quantum number indicates the direction of the electron's spin. \( +\frac{1}{2} \) corresponds to a clockwise spin, and \( -\frac{1}{2} \) corresponds to an anti-clockwise spin.
Step 2: Explanation.
Thus, \( +\frac{1}{2} \) and \( -\frac{1}{2} \) represent the clockwise and anti-clockwise directions of the electron's spin, respectively.
Final Answer:
\[
\boxed{\text{B) rotation of electron anti-clockwise and clockwise directions respectively}}
\]