Answer
$k \times (i -2j)=2i+j$
Work Step by Step
Cross product of a vector with itself is zero.
As we are given that $k \times (i -2j)$
$k \times (i -2j)=k \times i- 2k \times j$
$=k \times i+2j \times k$
$=j+2i$
Hence, $k \times (i -2j)=2i+j$