Deatiled solution please A (three-dimensional) force is called a central force10

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Deatiled solution please

A (three-dimensional) force is called a central force10 if the direction of lies along the the direction of the position vector . This problem asks you to show that the motion of a particle in a central force, satisfying lies in a plane. Show that is constant in t for = (t) satisfying (2.35). (Here v is the velocity vector and is the momentum vector.) The times in (2.36) is the vector cross product. Recall (and you may assume this result) from vector calculus that The vector is called the angular momentum vector. From the fact that is a constant vector, show that the vector (t) lies in a plane perpendicular to . Hint: Look at . Also you may find helpful the vector identity

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