Let ` vec a , vec b , vec c , vec d` be the position vectors of the four distinct points `A , B , C , Ddot` If ` vec b- vec a= vec a- vec d ,` then show that `A B C D` is parallelogram.

vec a,vec b,vec c,vec d are the position vectors of the four distinct points A,B,C, D respectively.If vec b-vec a=vec c-vec d, then show that ABCD is a parallelogram.

If vec a , vec b , vec c and vec d are the position vectors of points A, B, C, D such that no three of them are collinear and vec a + vec c = vec b + vec d , then ABCD is a

If vec a , vec b , vec c , vec d are the position vector of point A , B , C and D , respectively referred to the same origin O such that no three of these point are collinear and vec a + vec c = vec b + vec d , than prove that quadrilateral A B C D is a parallelogram.

If vec a,vec b,vec c are the position vectors of points A,B,C and D respectively such that (vec a-vec d)*(vec b-vec c)=(vec b-vec d)*(vec c-vec a)=0 then D is the

If vec a , vec b , vec c are three non coplanar vectors such that vec ddot vec a= vec ddot vec b= vec ddot vec c=0, then show that d is the null vector.

If vec a,vec b,vec c and vec d are the position vectors of points A,B,C,D such that no three of them are collinear and vec a+vec c=vec b+vec d, then ABCD is a a. rhombus b.rectangle c.square d. parallelogram

vec a, vec b, vec c, vec d are four distinct vectors satisfying the conditions vec a xxvec b = vec c xxvec d and vec a xxvec c = vec b xxvec d then prov that vec a * vec b + vec c.vec d! = vec a * vec c + vec b.vec d

If vec a xxvec b = vec c xxvec d and vec a xxvec c = vec b xxvec d then show that vec a-vec d is parallel to vec b-vec c

[vec a, vec b + vec c, vec d] = [vec a, vec b, vec d] + [vec a, vec c, vec d]

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is