In the parallelogram ABCD, m and N are the midpoint of DC and BC respectively. The known vectors am = C and an = D are used to represent the vectors AB and AD

In the parallelogram ABCD, m and N are the midpoint of DC and BC respectively. The known vectors am = C and an = D are used to represent the vectors AB and AD

c+d=2AC
c-d=1/2BD
AD=1/2(AC-DB)=5/4c-3/4d
AB=AC-AD=5/4d-3/4c