Question: Suppose that r is the position vector of a particle moving along a plane curve and dA / dt is the rate at which the

Suppose that r is the position vector of a particle moving along a plane curve and dA / dt is the rate at which the vector sweeps out area. Without introducing coordinates, and assuming the necessary derivatives exist, give a geometric argument based on increments and limits for the validity of the equation dA dt || 2 rxr r X i|.

dA dt || 2 rxr r X i|.

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The equation in the question is given by dAdt 12 r x drdt where r is the position vector of a partic... View full answer

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