Given that position vector a=4i+2j, position vector b=13i+5j are the vectors of A and B respectively. Given also that C lies on the line AB such that (Ab/AC)=3.

Find vector AB, vector AC and the position vector of C.

Given that vector BD=2i+4j, show that D lies on the line AB ad find the length of OD.

Can someone help me to solve it please?