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Jan 22, 2019 at 2:48 comment added karun mathews Ya that's correct, my main problem was how to find the perpendicular part of the velocity after it has been rotated, but I think the link I found resolves that.
Jan 22, 2019 at 0:58 vote accept Germ
Jan 22, 2019 at 0:58 comment added Germ Yes, I think this is indeed the right way to go. I found the answer myself, and I believe it is similar to yours. Basically, you construct a new coordinate system given by $\vec{B}$, $\vec{v}_{perp}$, and their cross product (with the magnetic field first), and then you can solve the problem as if the magnetic field is aligned along the vertical axis.
Jan 21, 2019 at 3:53 history edited karun mathews CC BY-SA 4.0
Fixed some really messed up notation
Jan 21, 2019 at 3:44 history edited karun mathews CC BY-SA 4.0
added 12 characters in body
Jan 21, 2019 at 3:32 history answered karun mathews CC BY-SA 4.0