Show that if vector r x (d(vector r)/(dt)) = 0, |vector r| is constant.© BrainMass Inc. brainmass.com October 10, 2019, 4:05 am ad1c9bdddf
Let us assume r_vector = r*(i_cap * cos(theta) + j_cap * sin(theta))
here unit vector along the direction of r_vector: r_cap = (i_cap * cos(theta) + j_cap * sin(theta))
as magnitude of r_vector = r = constant (given)
dr_vector/d(theta) = r * d(r_cap)/d(theta) = r * (i_cap*(-sin(theta)) + j_cap * ...
This solution is comprised of a detailed, step by step response which explains how to solve this vector based problem.