What is the unit vector that is normal to the plane containing #(- 3 i + j -k)# and #(- 4i + 5 j - 3k)?
1 Answer
Apr 6, 2017
The unit vector is
Explanation:
The vector perpendicular to 2 vectors is calculated with the determinant (cross product)
where
Here, we have
Therefore,
Verification by doing 2 dot products
So,
The unit vector is