IN any `/_\ABC,` a point `p` is on the side BC. If `vec(PQ)`is the resultant of the vectors `vec(AP)`,` vec(PB)` and `vec(PC)` the prove that `ABQC` is a parallelogram and hence Q is a fixed point.

ABC is a triangle and P any point on BC. if vec P Q is the sum of vec A P + vec P B + vec P C , show that ABPQ is a parallelogram and Q , therefore , is a fixed point.

What is the angle between vec(P) and the resultant of (vec(P)+vec(Q)) and (vec(P)-vec(Q)) ?

P is a point on the side BC off the DeltaABC and Q is a point such that PQ is the resultant of AP,PB and PC. Then, ABQC is a

If vec(P).vec(Q)= PQ , then angle between vec(P) and vec(Q) is

If O is the circumcentre and P the orthocentre of Delta ABC , prove that vec(OA)+ vec(OB) + vec(OC) =vec(OP) .

In a parallelogram ABCD. Prove that vec(AC)+ vec (BD) = 2 vec(BC)

ABCD is a quadrilateral and E is the point of intersection of the lines joining the middle points of opposite side. Show that the resultant of vec (OA) , vec(OB) , vec(OC) and vec(OD) = 4 vec(OE) , where O is any point.

If a parallelogram is formed with two sides represented by vector vec(a) and vec(b) , then vec(a)+vec(b) represents the

The resultant vec(P) and vec(Q) is perpendicular to vec(P) . What is the angle between vec(P) and vec(Q) ?

Write an expression for magnitude of the resultant vector .vec(R). of two vectors vec(A) and vec(B) acting at a point. When will this resultant vector .vec(R). be maximum ?