Image: Cycle of unit vectors
Cycle of unit vectors useful for remembering their cross products. When following the arrows, the cross product is positive:
\begin{align*}
\vc{i} \times \vc{j} &= \vc{k}\\
\vc{j} \times \vc{k} &=\vc{i}\\
\vc{k} \times \vc{i} &= \vc{j}.
\end{align*}
When going backward along the arrows, the cross product is negative:
\begin{align*}
\vc{j} \times \vc{i} &= -\vc{k}\\
\vc{k} \times \vc{j} &= -\vc{i}\\
\vc{i} \times \vc{k} &= -\vc{j}.
\end{align*}
Image file: unit_vectors_cycle.png
Image links
This image is found in the pages