Answer
\[-\mathbf{j}\]
Work Step by Step
\[\begin{align}
& \mathbf{i}\times \mathbf{k} \\
& \text{Find the cross product} \\
& \mathbf{i}\times \mathbf{k}=\left| \begin{matrix}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
1 & 0 & 0 \\
0 & 0 & 1 \\
\end{matrix} \right| \\
& \mathbf{i}\times \mathbf{k}=\left| \begin{matrix}
0 & 0 \\
0 & 1 \\
\end{matrix} \right|\mathbf{i}-\left| \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right|\mathbf{j}+\left| \begin{matrix}
1 & 0 \\
0 & 0 \\
\end{matrix} \right|\mathbf{k} \\
& \mathbf{i}\times \mathbf{k}=0\mathbf{i}-\mathbf{j}+0\mathbf{k} \\
& \mathbf{i}\times \mathbf{k}=-\mathbf{j} \\
& \\
& \text{Graph} \\
\end{align}\]
