A particle is moving along the path c(t) = <cos(t),sin(t),2t>. Suppose its acceleration a(t) is given by a(t) = v(t) x B where v(t) is the velocity and B(x,y,z) is a constant vector (i.e. independent of (x,y,z)).
Find v(t) and a(t)
The Attempt at a Solution
Finding v(t) is relatively simple: v(t) = <-sint(t),cos(t),2>. Finding a(t) is more tricky and I don't know how to begin. I would be appreciative of at least the first step.