If A = (a1, a2, a3) and B = (b1, b2)
Find (i) A × B
(ii) B × A
(i) A × B = (a1, a2, a3) × (b1, b2)
= ((a2)(b2) - (a3)(b1), (a3)(b1) - (a1)(b2), (a1)(b2) - (a2)(b1))
= (a2b2 - a3b1, a3b1 - a1b2, a1b2 - a2b1)
(ii) B × A = (b1, b2) × (a1, a2, a3)
= ((b2)(a3) - (b1)(a2), (b1)(a1) - (b2)(a3), (b1)(a2) - (b2)(a1))
= (b2a3 - b1a2, b1a1 - b2a3, b1a2 - b2a1)