Answer
${\bf( j+2k)}\times{\bf (i)}=2{\bf j} -{\bf k}$
Work Step by Step
${\bf u}\times{\bf v}=\left|\begin{array}{lll}
{\bf i} & {\bf j} & {\bf k}\\
u_{1} & u_{2} & u_{3}\\
v_{1} & v_{2} & v_{3}
\end{array}\right|$
---
${\bf( j+2k)}\times{\bf (i)}=\left|\begin{array}{lll}
{\bf i} & {\bf j} & {\bf k}\\
0 & 1 & 2\\
1 & 0 & 0
\end{array}\right|=(0)-(0-2){\bf j}+(0-1){\bf k}$
$=2{\bf j} -{\bf k}$
