Let x(t) be a path of class C1 that does not pass through the origin in R3. If x(t0) is

Chapter 3, Problem 35

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Let x(t) be a path of class C1 that does not pass through the origin in R3. If x(t0) is the point on the image of x closest to the origin and x (t0) = 0, show that the position vector x(t0) is orthogonal to the velocity vector x (t0).

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