If ` vec a , vec b , vec c` are unit vector, prove that `| vec a- vec b|^2+| vec b- vec c|^2+| vec c- vec a|^2lt=9.`

If vec a, vec b and vec c are unit vectors then | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) is equal to

If vec a, vec b and vec c are unit vectors satisfying | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 9 then | 2vec a + 7vec b + 7vec c | =

Let vec a, vec b, vec c are unit vector where | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c + vec a | ^ (2) = 3 then | vec a + 2vec b + 3vec c | ^ (2) is equal to

If vec a,vec b and vec c are unit vectors satisfying |vec a-vec b|^(2)+|vec b-vec c|^(2)+|vec c-vec a|^(2)=9 then |2vec a+5vec b+5vec c| is.

Let vec a, vec b, vec c are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

Let vec a, vec b, vec b, vec b are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c = 3 and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

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

If vec a,vec b,vec c are three unit vectors such that vec a xxvec b=vec c,vec b xxvec c=vec a,vec c xxvec a=vec b Show that vec a,vec b,vec c from an orthonormal right handed triad of unit vectors.

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 :