A Positive charge particle with velocity $\vec{v}=x\hat{i}+y\hat{j}$ moves in a magnetic field $\vec{B}=y\hat{i}+x\hat{j}$. The magnitude of magnetic force acting on the particles is F. Which one of the following statements are correct :

The magnetic force on a particle moving with velocity 'v' in a given magnetic field is given by
$\vec{F}=\vec{v}\times \vec{B}$
$\vec{F}=(xi+yj)\times (yi+xj)$
$\vec{F}=x^{2}k+y^2(-k)$
$\vec{F}=x^{2}k-y^{2}k$
If  $x=y,F=(x^2-y^2)k=0$
$F>0$ if $x>y$. So the force acts in positive z- direction if x > y