If `vec a and vec b` are two vectors such that `|vec a xx vec b| = 2`, then find the value of `[veca, vecb, veca xx vecb]` .

If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c = vec 0 , then find the value of vec a* vecb + vec b* vec c +vec c* veca .

If vec a , vec b , and vec c are unit vectors such that vec a+ vec b+ vec c=0, then find the value of veca*vecb+vecb*vecc+vecc*veca

If vec alpha and vec beta are two vectors such atht veca. vecb =0 and veca xx vec b =vec0, then:

If veca, vecb,vec c are unit vectors such that veca+vecb+vec c=veco , then the value of veca*vecb+vecb*vec c+vec c*veca is -

If hata, hatb are unit vectors and vec c is such that vec c=veca xx vec c +vecb , then the maximum value of [veca vecb vec c] is :

If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec a*vecb)^2 =.......

Let veca , vecb and vecc be three non-zero vectors such that veca + vecb + vecc = vec0 and lambda vecb xx veca + vecbxxvecc + vecc xx veca = vec0 then find the value of lambda .