Let ` vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r eO` is origin. Let `p` denote the area of th quadrilateral `O A B Ca n dq` denote the area of teh parallelogram with `O Aa n dO C` as adjacent sides. Prove that `p=6qdot`

Let vec(OA)=vecas, vec(OB)=10veca+2vecb and vec(OC)=vecb where O A and C are non collinear points. Let p denote the area of the quadrilaterial OABCand q denote the area of the parallelogram with OA and OC as adjacent sides. Then p/q= (A) 2 (B) 6 (C) 1 (D) 1/2|veca+vecb+vecc]

vec OA-vec a,widehat OB=10vec a+2vec b and vec OC=vec b, where O,A and C are non-collinear points.Let p denotes the areaof quadrilateral OACB, and let q denote the area of parallelogram with OA and OC as adjacent sides.If p=kq, then find k.

Let vec OA=vec a,vec OB=100vec a+2vec b and vec OC=vec b where O,A,C are non collinear points.Let P denotes the area of the parallelogram with vec O Anad vec OC as adjacent sides and Q denotes the area of the quadrilateral OABC If Q=lambda P Find the value of lambda

ABCD is a quadrilateral with vec AB=vec a,vec AD=vec b and vec AC=2vec a+3vec b If its area is alpha xx the area of the parallelogram with AB and AD as adjacent sides,then alpha=

What is the angle between vec(A) and vec(B) , If vec(A) and vec(B) are the adjacent sides of a parallelogram drwan from a common point and the area of the parallelogram is AB//2 ?

If vec a + vec b + vec c = o, prove that vec a xxvec b = vec b xxvec c = vec c xxvec a

If vec A and vec B denote the sides of a parallelogram of area AB/ 2 , then the angle between vec A and vec B is ____.

Area of a parallelogram with adjacent sides determined by vectors vec a and vec b is 30. Then the area of the parallelogram with adjacentsides determined by vectors (vec a+vec b) and vec a is