If P, Q, R are the mid-points of the sides AB, BC and CA respectively of a triangle ABC and a, p, q are the position vectors of A,P,Q respectively, then what is position vector of R?

If P, Q, R are the mid -points of the sides AB, BC, CA respectively of a DeltaABC and vec(a).vec(p) vec(q) are the position vectors of A.P.Q respectively, then what is the position vector of R?

P, Q, R are the midpoints of the sides AB, BC and CA of the triangle ABC and O is a point within the triangle, then OA + OB + OC =

D, E and F are the mid-points of the sides AB, BC and CA respectively of A ABC. AE meets DF at O. P and Q are the mid-points of OB and OC respectively. Prove that DPOF is a parallelogram.

P and Q are the mid point of the sides CA and CB respectively of a triangle ABC, right angled at C. then, find the value of 4 (AQ^(2) + BP^(2) ) .

Let P, Q, R be the mid-points of sides AB, BC, CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR is

If P, Q , R are the mid-points of the sides AB, BC and CA of Delta ABC and O is point whithin the triangle, then vec (OA) + vec(OB) + vec( OC) =