Given vectors and

Magnitude |

Magnitude of |

Property:

(

Then

= (1 x 3)+(-2 x -2)+(3 x 1)

=3+4+3

= 10

Let angle between the vectors and be θ

Using the dot product property of the vectors,

Substituting the given values in the equation,

⇒

⇒

⇒θ=