In `/_\ABC whch of the folloiwng is not true? `vec(AB)+vec(BC)+vec(CA)=0` (A) `vec(AB)+vec(BC)+vec(CA)=0` (B) `vec(AB)+vec(BC)-vec(AC)=0` (C) `vec(AB)+vec(BC)-vec(CA)=0` (D) `vec(AB)-vec(CB)+vec(CA)=0`

If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

In a triangle ABC, if taken in order, consider the following statements 1. vec(AB) + vec(BC) + vec(CA) = vec(0) 2 vec(AB) + vec(BC) - vec(CA) = vec(0) 3. vec(AB)- vec(BC) + vec(CA) = vec(0) 4. vec(BA)- vec(BC) + vec(CA) = vec(0) How many of the above statements are correct?

In a triangle ABC, if taken in order, consider the following statements: 1. vec(AB)+vec(BC)+vec(CA)=vec(0) 2. vec(AB)+vec(BC)-vec(CA)=vec(0) 3. vec(AB)-vec(BC)+vec(CA)=vec(0) 4. vec(BA)-vec(BC)+vec(CA)=vec(0) How many of the above statements are correct?

If vec( A) + vec(B) =vec( C ) , and | vec(A)| =2 | vec( B) | and vec( B). vec( C ) = 0 , then

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

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O.Find (i) vec(AB)+vec(BC)+vec(CA)=? (ii) vec(OA)+vec(OB)+vec(OC)=? (iii) If |vec(AB)+vec(BC)+vec(AC)|= na then n = ? (iv) If vec(AB) +vec(AC) =n vec(AO) then n = ?

If A,B,C,D are any four points in space prove that vec(AB)xxvec(CD)+vec(BC)xvec(AD)+vec(CA)xxvec(BD)=2vec(AB)xxvec(CA)

State whether the following relations are true or false (1) vec(AB)=vec(BA) (2) vec(AB)=-vec(BA) (3) |vec(AB)|=|vec(BA)| (4) |vec(AB)|=|-vec(AB)| (5) hatj=hatk (6) |hatj|=|hatk|

If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) + vec(ED) + vec(AC) is equal to

If vec(a).vec(b)=0 and vec(a) xx vec(b)=0, " prove that " vec(a)= vec(0) or vec(b)=vec(0) .