Did similar triangles and vector crap like this a long tym ago, so culdnt solve it for my brother. So Paulie please help. I am writing down the question and then attaching the picture

In the figure, the lines ST, PQ and OR are paralle. OPS, OQT and RQS are straight line and   OR= 3a   OP= b and PS=2b and OQ= 2a+b . The underlined letters are all vectors.

Express in terms of a and b

(a)  (i) PQ          (ii)  QR        (iii)  QT      (iv)  ST           I did find (a) (i) and (a) (iii) but not the rest


(b)   (i)      the area of triangle OPQ / area of triangle  SPQ

       (ii)      the area of triangle OPQ / area of triangle OST

       (iii)     the area of triangle OPQ / area of triangle ORQ


And the answers are:

(a)      (i) 2a        (ii) a-b           (iii) 4a+2b          (iv)  6a

(b)      (i) 1/2       (ii)  1/9          (iii2/3)

hey wht did u mean by the lambda sign ??