Thread: vector

let A,B,C be vertices of triangle ABC in which B is taken as origin of reference and the position vectors of A and C are a and c A line AR parallel to BC is drawn from A.PR(P is midpoint of AB) meets AC at Q and area of triangle ACR is 2 times area of triangle ABC.
find

position vector of R
position vector of Q
(PQ/QR*AQ/QC) is equal to

i am not understanding how to use given information of area in this question

I would imagine that one would have to use the fact that the vector product of two vectors is twice the area of the triangle formed by their endpoints.