Two vectors having magnitudes of 5.00 and 9.00 respectively. If the value of their dot product is 12.0, find the angle between the two vectors.

C = 74.53°

Explanation:

Let the magnitudes of 5.00 and 9.00 be vectors A and B respectively, hence the dot product of this vector is defined as

A. B = |A||B|cosC; let C be the angle between the vectors

12 = 5*9 cos C

Hence cos C = 12/45

C = cos^-1 (12/45)

C = 74.53°