Whoa, for the first part? No, I did it the good ol' fashioned way, with |B| = \sqrt{0.056^2 + 0.046^2}.
And yeah, that does look familiar, albeit in already-crossed F_B = qvBsin\theta form. I think I'm having a bit of a hard time with the angle bit, since I have an angle from the x- and y-...