What angle between u and v will maximize their cross product?
Review: To reverse the direction of a vector w, scale it by -1. w and -w point in opposite directions. The diagram shows two cross products, their orientation determined by the right hand rule.
The magnitude of u × v is |u||v| sin θ = |v||u| sin θ.
So, u × v = -(v × u) .
Does -(v × u) = -v × u ? (Decide this by looking at the diagram and visualizing both sides of the equation).