Question

What is the unit vector that is normal to the plane containing `(- 3 i + j -k)` and `(2i+ j - 3k)`?

Answer 1

`C=-2i-11j-5k`

Explanation:

`A=-3i+j-k`
`B=2i+j-3k`
`C=A X B`
`"cross product A X B is normal to the plane"`
`"C is normal to the plane"`
`C=i(-3*1-(-1*1))-j((-3*-3)-(-1*2))+k(-3*1-2*1)`
`C=i(-3+1)-j(9+2)+k(-3-2)`
`C=-2i-11j-5k`