Answer
(a) ${\bf{F}}$ performs less work along the path $ABC$
(b) The work against ${\bf{F}}$ requires less work along the path $CBA$
Work Step by Step
(a) ${\bf{F}}$ performs less work along the path $ABC$ because the magnitude of the force vectors are smaller compared to the magnitude of the force vectors along $ADC$.
(b) The work against ${\bf{F}}$ requires less work along the path $CBA$ because the magnitude of the force vectors are smaller compared to the magnitude of the force vectors along $CDA$.
