What is the unit vector that is orthogonal to the plane containing # (3i + 2j - 3k) # and # (2i+j+2k) #?
1 Answer
Sep 23, 2017
The unit vector is
Explanation:
The cross product of 2 vectors is calculated with the determinant
where
Here, we have
Therefore,
Verification by doing 2 dot products
So,
The modulus of
Therefore,
The unit vector is