What is the unit vector that is orthogonal to the plane containing # (2i + 3j – 7k) # and # (3i - j - 2k) #?
The answer is
To calculate a vector perpendicular to two other vectors, you have to calculate the cross product
The cross product is given by the determinant
To verify that
We do a dot product.
As the dot products
To calculate the unit vector, we divide by the modulus