If a,b,c are unit vectors such that `a+b+c=0`, then find the value of `a.b+b.c+c.a`.

If a, b and c are three vectors such that [a b c]=1, then find the value of [a+b b+c c+a]+[ atimesb btimesc ctimesa ]

If a, b, c are unit vectors such that a-b+c=0 then c*a is equal to

vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c=0. then find the value of vec a. vec b+ vec b.vec c+ vec c. vec a

If vec a,vec b, and vec c are unit vectors such that vec a+vec b+vec c=0, then find the value of vec a*vec b+vec b*vec c+vec c*vec a

If a,b,c are vectors such that a*b=0 and a+b=c

If a, b, c are three unit vectors such that a + b + c = 0 , then a.b + b.c + c.a is equal to

If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c =0 , find the value of vec a.vec b+ vec b .vec c + vec c. vec a .

If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c = vec 0 , then find the value of vec a* vecb + vec b* vec c +vec c* veca .

If a,b,c are unit vectors such that a + b + c = 0 then a.b + b.c + c + c . A=