help with derivation of torque equation T = p x E

[itex]\vec{\tau}[/itex]=[itex]\vec{F}[/itex]x[itex]\vec{r}[/itex]

[itex]\vec{F}[/itex]=[itex]\vec{E}[/itex]q

[itex]\vec{p}[/itex]=q[itex]\vec{d}[/itex]

[itex]\vec{\tau}[/itex]=([itex]\vec{E}[/itex]q)xr=[itex]\vec{E}[/itex]x[itex]\vec{p}[/itex]

so then how do we end up with [itex]\vec{\tau}[/itex]=[itex]\vec{p}[/itex]x[itex]\vec{E}[/itex]?