If `u=v^(2)=w^(3)=z^(4)` ,then `log_(u)(uvwz)` is equal to

Let u,v and w be vectors such that u + v + w = 0. If |u| = 3, |v| = 4 and |w| = 5, then uv.vw.wu is equal to

Let hat(u), hat(v) and hat(w) are three unit vectors, the angle between hat(u) and hat(v) is twice that of the angle between hat(u) and hat(w) and hat(v) and hat(w) , then [hat(u) hat(v) hat(w)] is equal to

Let hat(u), hat(v) and hat(w) are three unit vectors, the angle between hat(u) and hat(v) is twice that of the angle between hat(u) and hat(w) and hat(v) and hat(w) , then [hat(u) hat(v) hat(w)] is equal to

Let hat(u), hat(v) and hat(w) are three unit vectors, the angle between hat(u) and hat(v) is twice that of the angle between hat(u) and hat(w) and hat(v) and hat(w) , then [hat(u) hat(v) hat(w)] is equal to

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations u+2v+3w=6,4u+5v+6w=12 and 6u+9v=4 . Further consider the expressions f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)] x+u+v+w=0 and g(x)=20x^(2)+10(a-d)^(2)x-9=0 (u+v+w) is equal to

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations u+2v+3w=6,4u+5v+6w=12 and 6u+9v=4 . Further consider the expressions f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)] x+u+v+w=0 and g(x)=20x^(2)+10(a-d)^(2)x-9=0 (u+v+w) is equal to

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations u+2y+3w=6,4u+5y+6w=12 and 6u+9v=4 . Further consider the expressions f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)] x+u+v+w=0 and g(x)=20x^(2)+10(a-d)^(2)x-9=0 (u+v+w) is equal to