A charged particle with velocity `vec(v)=xhat(i)+yhat(j)` moves in a magnetic field `vec(B)=yhat(i)+xhat(j)`. The magnitude of magnetic force acting on the particle is `F`. Which one of the following statement(s) is/are correct?

Options

A. No force will act on particle if `x=y`
B. `F prop (x^(2)-y^(2))` if `x gt y`
C. The force will act along z-axis if `x gt y`
D. The force will act along y-axis if `y gt x`