Given:
Given that the two vectors are u = (7,-4) and v = (1,5)
We need to determine the angle between these two vectors.
Dot product of u and v:
The dot product of u and v is given by



Magnitude of u:
The magnitude of u is given by



Magnitude of v:
The magnitude of v is given by



Angle between the two vectors:
The angle between the two vectors can be determined using the formula,

Substituting the values, we get;





Thus, the angle between the two vectors is 108.4°