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## Homework Statement

Given position function r(t) and r'(t) = c X r(t), where c is some constant vector, describe the path of the particle. In other words, describe r(t).

## Homework Equations

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## The Attempt at a Solution

a) r'(t) points in the direction of motion. If we can understand how r'(t) changes direction, we can understand how r(t) moves.b) r'(t) is the cross product of c and r(t). Therefore, the function is perpendicular to both c and r(t).

c) If r'(t) is perpendicular to c, r'(t) lies on a plane that c is normal to.

d) ---- No other leads