The point A A\,A has position vector 2i−6j2\mathbf{i}-6\mathbf{j}2i−6j and the point B B\,B has position vector −4i+6j-4\mathbf{i}+6\mathbf{j}−4i+6j. The point P P\,P divides AB AB\,AB internally in the ratio AP:PB=2:1AP:PB=2:1AP:PB=2:1.
Find AP⃗\vec{AP}AP.
Find the position vector of PPP.