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Add. Maths!!!!! please help slvri/Astar math

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~~~~shreyapril~~~~:
i have this question please answer it Astar math or slvri i need help
Please help wid diagram if possible..


Points A and B have position vectors a and b respectively relative to the origin O. The point C lies on OA produced such that OC = 2OA, and d lies on OB such that OD = 1/3OB

i) Express BC and DA in terms of a and b
   The lines AD and BC intersect at P when extended
ii) Given that AP = mDA, express OP in terms of m, a, b
iii) Given also that BP = kBC, express OP in terms of k, a, b
iv) Hence calculate the value of m and k and the position vector of p
v) Another point Q is such that APCQ is a parallelogram. Find its position vector.

astarmathsandphysics:
here

~~~~shreyapril~~~~:
tks sir
i did not get the step in the attachment
how come QC = AP

~~~~shreyapril~~~~:
i guess 2a - (3a - b) = b-a
rite?? or not??

astarmathsandphysics:
Because QCAP is a paralellogram. It goes APQC so AP is antiparalle to QC so paralell to CQ. I should have crawn it on. Sorry.

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