If `O\ a n d\ O^(prime)` are circumcentre and orthocentre of `\ A B C ,\ t h e n\ vec O A+ vec O B+ vec O C` equals
a.`2 vec O O '` b. ` vec O O '` c. ` vec O ' O` d. `2 vec O ' O`

If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O)A + vec(O)B + vec(O)C =

If O and H be the circumcentre and orthocentre respectively of triangle ABC, prove that vec OA+ vec OB+ vec OC= vec OH .

If S is the circumcentre, G the centroid, O the orthocentre of Delta ABC, then vec(S)A + vec(S)B + vec(S)C =

If O is the circumcentre,G is the centroid and O' is orthocentre or triangle ABC then prove that: vec OA+vec OB+vec OC=vec OO

Let O be the centre of a regular hexagon A B C D E F . Find the sum of the vectors vec O A , vec O B , vec O C , vec O D , vec O Ea n d vec O F .

If O is the circumcentre, G is the centroid and O' is orthocentre or triangle ABC then prove that: vec(OA) +vec(OB)+vec(OC)=vec(OO')

If O( vec0 ) is the circumcentre and O' the orthocentre of a triangle ABC, then prove that i. vec(OA)+vec(OB)+vec(OC)=vec(OO') ii. vec(O'A)+vec(O'B)+vec(O'C)=2vec(O'O) iii. vec(AO')+vec(O'B)+vec(O'C)=2 vec(AO)=vec(AP) where AP is the diameter through A of the circumcircle.

If G is the intersection of diagonals of a parallelogram A B C D and O is any point then O vec A+O vec B+O vec C+O vec D= a. 2 vec OG b. 4 vec OG c. 5 vec OG d. 3 vec OG

If 2 vec A C = 3 vec C B , then prove that 2 vec O A =3 vec C B then prove that 2 vec O A + 3 vec O B =5 vec O C where O is the origin.