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A proton has the acceleration a=CvxB, where a is the cross product of v and B (a,v,B are vectors). C is a constant and the magnetic field is constant. Prove that the magnitude of the v and a are constant.

I know I have to somehow prove the derivative of a or v to be zero, but i have no idea how to start. i know if v is constant, then a must be 0.

a=CvxB

(da/dt)=C(dv/dt)xB

i also wrote down |a|=|Cv||B|sintheta, but that doesn't help at all.

I know I have to somehow prove the derivative of a or v to be zero, but i have no idea how to start. i know if v is constant, then a must be 0.

a=CvxB

(da/dt)=C(dv/dt)xB

i also wrote down |a|=|Cv||B|sintheta, but that doesn't help at all.

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