2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.

1 answer

It looks like you're wanting vectors. So,
AB + BP = a = b - PQ
AD + DQ = b = a + PQ
play around with those and see what you get.