`vec a,vec b,vec c` are three vectors, such that `vec a+vec b+vec c=0`,`|vec a|=1,|vec b|=2,|vec c|=3`,`|vec a.vec b+vec b.vec c+vec c.vec a|` is equal to

vec a,vec b,vec c are three vectors,such that vec a+vec b+vec c=0 , |vec a|=1, |vec b|=2, |vec c|= 3 , vec a*vec b+vec b*vec c+vec c*vec a is equal to

If vec a,vec b and vec c be three vectors such that vec a+vec b+vec c=0,|vec a|=1,|vec c|=3,|vec b|=2, Then find the value of vec a.vec b+vec b.vec c+vec c.vec a

If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec 0 and |vec a|=3,|b|=4,|vec c|=5 Find the value of vec a*vec b+vec b*vec c+vec c*vec a

If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec 0, then prove that vec a xxvec b=vec b xxvec c=vec c xxvec a

If vec a,vec b and vec c be any three vectors then show that vec a+(vec b+vec c)=(vec a+vec b)+vec c

If vec a,vec b,vec c are three vectors such that vec avec b=vec adot c then show that vec a=0 or ,vec b=c or vec a perp(vec b-vec c)

Let vec a , vec b , vec c are three vectors , such that vec a + vec b + vec c = vec 0 .If , |vec a|=3 , |vec b|=4 and | vec c|=5 , then the value of, |vec a+vec b|^(2) + |vec b-vec c|^(2) + |vec c+vec a|^(2) , equal to :

For any three vectors vec a, vec b, vec c, (vec a-vec b) * (vec b-vec c) xx (vec c-vec a) is equal to

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

If vec a,vec b, and vec c are three vectors such that vec a xxvec b=vec c,vec b xxvec c=vec a,vec c xxvec a=vec b then prove that |vec a|=|vec b|=|vec c|