If the volume of parallelepiped formed by the vectors i+λj+k, j+λk, and λi+k is minimum, then λ is equal to?

Correct option is C. 13
Volume of parallelepiped=||1λ1 01λ λ01||
f(λ)=|λ³-λ+1|
Question is asking minimum value of volume of parallelepiped corresponding value of λ; the minimum value is zero,
since a cubic always has at least one real root.
Hence answer to the question must be root of cubic λ³-λ+1=0. None of the options satisfies the cubic.