For real numbers α, β, γ, δ and µ, consider the matrix
M = .
Suppose that , where is the transpose of the matrix M, and I is the 3 × 3 identity matrix. Let
Missing argument for \vec\vec u = αMissing argument for \hat\hat i + Missing argument for \hat\hat j + γMissing argument for \hat\hat k, Missing argument for \vec\vec v = Missing argument for \hat\hat i + βMissing argument for \hat\hat j + δMissing argument for \hat\hat k and Missing argument for \vec\vec w = -Missing argument for \hat\hat i + Missing argument for \hat\hat j + μMissing argument for \hat\hat k.
Match each entry in List-I to the correct entry in List-II and choose the correct option.
List-I
(P) The value of is
(Q) If for some real numbers x, y and z, then the value of x is
(R) The value of is
(S) The value of is
List-II
(1) 0
(2) 1
(3)
(4)
(5)