The resultant of two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is perpendicular to the vector \[\overrightarrow{A}\] and its magnitude is equal to half the magnitude of vector \[\overrightarrow{B}\]. The angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is

• A. \[120{}^\circ \]
• B.        \[150{}^\circ \]
• C. \[135{}^\circ \]
• D.        \[180{}^\circ \]