That is the first part of the problem.
Show that \vec{B} = k\vec{v}\times\vec{E}
Find the fundamental units of k, which I believe I have correct as m^2/s^2
Find \vec{B}(dot)\vec{E}
Find \vec{E}\times\vec{B}
I believe with the 1st part I can figure the rest out. I just don't know where to...