Calculating Cross Product Using Components
(II) Let us show that Eq. 11–3c is equivalent to the definition of cross product, Eq. 11–3a and the sentence below it including the right-hand rule and Fig. 11–7. We do this in three parts.
(iii) Finally, choose a coordinate system so that A→ = Aₓ î and B→ = Bₓ î + Bᵧ ĵ and show that follows the right-hand rule C→ =A→ x B→ .