magnetism problem?

Question

folks,
in lorentz force we have f=b(q*V) which reduces to bqvsinTheta.
sin is understandable because this is a cross product.
but in deriving tangent law in magnetism we get cos Theta while using cross product? how

sir
in lorentz force we have f=Q(v*b) and the result is f= bqv sin Theta. since this is a cross product sin Theta is understandable.
but in magnetism while deriving tangent law we get both sin Theta and Cos Theta while using cross product. please explain

Answer 1

I think the Lorentz Force Law is F = Q(v x B) that is v cross B

Total force is Q[E + (v x B)]