What is the unit vector that is orthogonal to the plane containing # (2i + 3j – 7k) # and # (3i – 4j + 4k) #?
1 Answer
Apr 10, 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