[" Q."1.ABCD" is a quadrilateral,then prove that "],[qquad vec BA+vec BC+vec CD+vec DA=2vec BA]

ABCD is a quadrilateral.Find the sum the vectors vec BA,vec BC, and vec DA.

If PQ are the mid points of diagonal AC and BD respectively of a quadrilateral ABCD ,then prove that vec AB+vec AD+vec CB+vec CD=4vec PQ

If ABCD is a quadrilateral, then vec(BA) + vec(BC)+vec(CD) + vec(DA)=

If ABCD is a quadrilateral,then the resultantof the forces represented by vec BA,vec BC,vec CD and vec DA is

If ABCD is a quadrillateral such that vec(AB) = vec(i) + 2vec(j), vec(AD)= vec(j) + 2vec(k) and vec(AC)= 2 (vec(i) + 2vec(j)) + 3(vec(j) + 2vec(k)) , then area of the quadrilateral ABCD is

A,B,C,D are any four points,prove that vec AB*vec CD+BC*vec AD+vec CA*vec BD=0

ABCDE is a pentagon prove that vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA)=vec0

If ABCDE is a pentagon then prove that vec(AB)+vec(AE)+vec(BC)+vec(DC)+vec(ED)+vec(AC)=3vec(AC)

Prove that [vec(p) - vec(q) vec(q) - vec(r) vec(r) - vec(p)] = 0

If M and N are the mid-points of the diagonals AC and BD respectively of a quadrilateral ABCD,then the of vec AB+vec AD+vec CB+vec CD equals