A particle moving in the xy-plane experiences a velocity dependent force `vecF=k(v_y hati+v_x hatj)`, where `v_x` and `v_y` are the components of its velocity `vecv` . If `veca` is the acceleration of the particle, then which of the following statements is true for the particle?

Options

A. quantity `vecv.veca` is constant in time
B. quantity `vecvxxveca` is constant in time
C. `vecF` arises due to a magnetic field
D. kinetic energy of particle is constant in time