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A particle moves in a space following the trajectory r(t). Suppose that r'' = ||r||^2 * r for all t, r(0) = <1, 1, 1>

A particle moves in a space following the trajectory r(t). Suppose that r'' = ||r||^2 * r for all t, r(0) = <1, 1, 1> and r'(0) = <1, 2, 5>. Define L = r(t) X r'(t).

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C PART:

The curve r(t) lies in a plane through the origin. Find the explicit equation of the plane.

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