Let →a,→b and →c be three non-coplanar vectors and →d=sinx(→a×→b)+cosy(→b×→c)+2(→c×→a) be a non-zero vector, which is perpendicular to →a+→b+→c. If the minimum value of x2+y2 is equal to λπ24, then the value of λ is

Let →a,→b and →c be three non-coplanar vectors and →d=sinx(→

1.	Let →a,→b and →c be three non-coplanar vectors and →d=sinx(→a×→b)+cosy(→b×→c)+2(→c×→a) be a non-zero vector, which is perpendicular to →a+→b+→c. If the minimum value of x2+y2 is equal to λπ24, then the value of λ is
Answer» Let $\to a, \to b$ and $\to c$ be three non-coplanar vectors and $\to d = sin x (\to a \times \to b) + cos y (\to b \times \to c) + 2 (\to c \times \to a)$ be a non-zero vector, which is perpendicular to $\to a + \to b + \to c .$ If the minimum value of $x^{2} + y^{2}$ is equal to $\frac{λ π^{2}}{4},$ then the value of $λ$ is