# What is the unit vector that is orthogonal to the plane containing # (3i + 2j - 6k) # and # (3i – 4j + 4k) #?

##### 1 Answer

Notice in the picture I actually drew the unit vector in the opposite direction, i.e.:

It does matter it depend what you're are rotating to what as you apply the Right Hand Rule...

#### Explanation:

As you can see you vectors - let's call them

This two vector constitute a plane see the figure.

The vector formed by their x-product =>

is an orthogonal vector. The unit vector is obtained by normalizing the

Now let's sub and calculate our orthonormal vector