# Does the Lorentz force applied to a current carring wire by a magnetic field act in the negative or positive direction of the right hand rule?

If I say that I am calculating the Lorentz force $F$ applied to a wire carrying a current $i$ at a point $P$ in a magnetic field $B$, would the actual force be opposite of that given by the right hand rule since electrons are actually flowing rather than the positive charge suggested by conventional current (i.e. positive charge doesn't actually flow through a wire)?

$$\mathbf{F}=q(\mathbf{v} \times \mathbf{B})$$