Let `vec a,vec b,vec c` be three non-zero vectors such that `[vec a vec b vec c]=|vec a||vec b||vec c|` then

Let vec a, vec b, vec c be three non-zero vectors such that [vec with bvec c] = | vec a || vec b || vec c | then

Let vec a, vec b, vec c be three nonzero vectors such that vec a + vec b + vec c = vec 0 and lambdavec b xxvec a + vec b xxvec c + vec c xxvec a = 0 then lambda is

Let vec a,vec b,vec c are three non-zero vectors such that vec a xxvec b=vec c and vec b xxvec c=vec a; prove that vec a,vec b,vec c are mutually at righ angles such that |vec b|=1 and |vec c|=|vec a|

Let vec a, vec b and vec c, are non-coplianar vectors such that [(vec a xxvec b) * vec c] = | vec a || vec b || vec c | then

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 :

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 non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

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

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

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