If `vecaxxvecb=vecbxxvec c = vec c xx veca` then `veca+vecb+vec c=`

If [veca xx vecb vecb xx vec c vec c xx vec a] = lamda [veca vecb vec c ]^2 then lamda is equal to

If [veca+vecb, vecb+vec c, vec c+veca]=8 then [veca, vecb, vec c] is

Let veca, vecb and vec c be any three vectors; then prove that [[vecaxxvecb, vecbxxvecc, veccxxveca]] = [[veca, vecb, vecc]]^2

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

If veca .vecb = veca.vec cand veca xx vecb = veca xx vec c,veca ne0 , then

Let veca , vecb, vec c be three non coplanar vectors , and let vecp , vecq " and " vec r be the vectors defined by the relation vecp = (vecb xx vec c )/([veca vecb vec c ]), vec q = (vec c xx vec a)/([veca vecb vec c ]) " and " vec r = (vec a xx vec b)/([veca vecb vec c ]) Then the value of the expension (vec a + vec b) .vec p + (vecb + vec c) .q + (vec c + vec a) . vec r is equal to

If (veca xx vecb)xx vec c=veca xx (vecb xx vec c) , where veca, vecb and vec c are any three vectors such that veca*vecb ne 0, vecb*vec c ne 0 , then veca and vec c are :