Does dot product follow associative law?
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Evaluate the dot product of thepair of vectors in the figure A.
Evaluate the dot product of the pair of vectors in the figureB.
Evaluate the dot product of the pair of vectors in the figureC.
P.S: i will rank you =]
Consider a particle that feels an angular force only, of the form F=3m(r-dot)(theta-dot). Show that (r-dot)=+/- sqrt(A(r^4)+B), where A and B are constants of integration, determined by the initial conditions. Also, show that if the particle starts with (theta-dot) does not equal 0 and (r-dot) > 0, it reaches r=infinity in a finite time.
integral g dot product dA = -4piGm