Position vector and a vector in terms of position vectors of its end points

Components of a vector in terms of coordinates of its end points

Define position vector of point.

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec AC=3vec AB is

If a and b are the position vectors of A and B respectively; find the position vector of a point C on BA produced such that BC=3/2BA.

If vec a and vec b are position vectors of A and B respectively,find the position vector of a point Con BA produced such that BC=1.5BA

If veca and vecb are position vectors of A and B respectively, then the position vector of a point C in vec(AB) produced such that vec(AC) =2015 vec(AB) is

barp and barq are position vectors of two points P and Q. The position vectors of a point which divides PQ internally in the ratio 2:5 is