If `vcea,vecb` are two unit vectors such that `veca+(vecaxxvecb)=vec c` and `|vec c|=2` then the value of `[veca vecb vec c]=`

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 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 , 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 veca , vecb ,vec c are the 3 vectors such that |veca| = 3, |vecb| = 4,|vec c| = 5, |veca + vecb + vec c | = 0 then the value of veca.vecb + vecb.vec c + vec c .vec a is :

If veca, vecb, vecc are three vectors such that veca + vecb + vecc= vec0 and |veca | =2, |vecb|=3, |vecc| = 5, then value of veca. vecb+vecb.vec c+vec c. veca is :

If veca, vecb, vec c are three mutually perpendicular vectors and |veca|=|vecb|=|vec c|=m , then the value of |veca+vecb+vec c| is -