Question

What is the cross product of `[1, 4, -2]` and `[3,-6,4]`?

Answer 1

`A X B=4i-10j-18k`

Explanation:

`A=i+4j-2k`
`B=3i-6j+4k`
`A X B=i((A j*B k)-(A k*B j))-j((A i*B k)-(A k*B i))+k((A i*B j)-(A j*B i))`
`A X B=i(4*4-((-2)*(-6)))-j(1*4-(3*(-2))+k(1*(-6)-(3*4))`
`A X B=i(16-12)-j(4+6)+k(-6-12)`
`A X B=i(4)-j(10)+k(-18)`
`A X B=4i-10j-18k`