vec AB+vec BC+vec CA=vec O

If a,b,c are the lengths of sides,BC,CA and AB of a triangle ABC, prove that vec BC+vec CA+vec AB=vec O and deduce that (a)/(sin A)=(b)/(sin B)=(c)/(sin C) .

Statement 1: In Delta ABC,vec AB+vec BC+vec CA=0 Statement 2: If vec OA=vec a,vec OB=vec b, then vec AB=vec a+vec b

ABCDE is a pentagon.prove that the resultant of force vec AB,vec AE,vec BC,vec DC,vec ED and vec AC is 3vec AC

Let ABCDEF be a regular hexagon and vec AB=vec a,vec BC=vec b,vec CD=vec c then vec AE is

In quadrilateral ABCD,vec AB=vec a,vec BC=vec b,vec AD=vec b-vec a If M is the mid point of BC and N is a point on DM such that DN=(4)/(5)DM, then vec AN=

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

If ABCD is a parallelogram and vec AB = vec a , vec BC= vec b then show that vec AC = vec a+ vec b and vec BD = vec b- vec a .

If ABCD is a parallelogram and vec AB = vec a , vec BC= vec b then give geometrical significance of |quad vec a+ vec b|=|quad vec a- vec b| .

If ABCDEF is a regular hexagon with vec AB=vec a and vec BC=vec b, then vec CE equals

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?