What is the unit vector that is orthogonal to the plane containing # <3, -6, 2> # and # <1, 1, 1> #?
First take the cross product of both the vectors. Let's say
The cross product of 2 vectors can be seen as the calculus of 3 determinants, and the vector you will create with the cross product is always orthogonal to the 2 first vectors, that's why we have to begin with it.
Now that we have