Vectors

Find the normal to the plane using cross product of and : Now project vector on :

If then square both sides: Thus, angle between vectors =

Use dot product:

The direction vector perpendicular to both and is their cross product: Let projection of on :

Using the vector triple product identity, the unit vector in the direction of is given by the normalized form of the resulting vector.
After calculation, the correct unit vector is .

The angle between the vectors and can be calculated using the dot product formula. Since and are perpendicular unit vectors, their dot product is zero. Hence, the angle between and is .