What angle between **u** and **v** will *maximize*
their cross product?

90°

*Review:*
To reverse the direction of a vector **w**, scale it by -1.
In other words, **w** and **-w** are colinear but
point in opposite directions.
The diagram shows two cross products, their orientation
determined by the right hand rule.

The magnitude of

u×vis |u| |v| sin θThe magnitude of

v×uis |v| |u| sin θ =| u||v| sin θ.

So, **u** **×** **v** = -(**v** **×** **u**) .