`(1)/(3)(x+y+z)` is a

In In x+In y+In z=1, then the minimum value of e^(-(1)/(3))(x+y+z) is

If [(2,-1,3),(1,3,-1),(3,2,1)],[(x),(y),(z)]=[(9),(4),(10)] ,then [(x),(y),(z)] is equal to

Simplify ( 3x + (1)/(2) y ) ( 3x + 2z)

If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}] , then [{:(x),(y),(z):}] is equal to

If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}] , then [{:(x),(y),(z):}] is equal to

If (x + y) ^((1)/(3)) + (y + x) ^((1)/(3)) =- ( z + x ) ^((1)/(3)) , then (x ^(3) + y ^(3) + z ^(3)) can be expressed as :

If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb vecc]=(1)/(3) , then x+y+z is equal to

If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb vecc]=(1)/(3) , then x+y+z is equal to