Vector α is multiplied by vector CA=0, and vector α is perpendicular to vector CA.

Vector beta is multiplied by vector BA=0, and vector beta is perpendicular to vector BA.

The angle between vector CA and vector BA is 120,

The angle between the straight line of vector α and the straight line of vector β is 60 degrees. Because vectors are directional,

Therefore, the angle between the vector α and the vector β is 60 or120.