A force `vec((F)) = - K(yhat(i) + x hat(j))` (where K is a positive constant) acts on a particle moving in the X-Y plane. Starting from the origin, the particle is taken along the positive X-axis to the point (a, 0) and then parallel to the Y-axis to the point (a,a). The total work done by the force `vec(F)`. of the particle is

Options

A. `-2Ka^(2)`
B. `2Ka^(2)`
C. `-Ka^(2)`
D. `Ka^(2)`

Answer

C