Let `vec a,vec b,vec c` be three nonzero vectors such that `veca+vecb+vecc=0 and lambda vec b xx vec a+vec b xx vec c +vec c xx vec a=0`, then `lambda` is

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

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 three vectors such that vec a. vec b= vec a.\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b xx vec c) +vec b xx(vec c xx vec a)+ vec c xx(vec a xx vec b) = vec 0

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 three vectors such that vec adot\ vec b= vec adot\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

Let vec a, vec b, vec c be three vectors from vec a xx (vec b xxvec c) = (vec a xxvec b) xxvec c, if

If vec a, vec b, vec c are non coplanar vectors such that, vec b xx vec c = vec a, vec c xx vec a = vec b, vec a xx vec b = vec c , then |vec a + vec b + vec c| =

If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc = 0 and lambda = veca.vecb + vecb.vecc+vecc.veca and d = veca xx vecb + vecb xx vecc + vecc xx veca , then (lambda,vecd) is

If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc = 0 and lambda = veca.vecb + vecb.vecc+vecc.veca and d = veca xx vecb + vecb xx vecc + vecc xx veca , then (lambda,vecd) is