Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
- u = ⟨2, –3⟩
- v = ⟨1, –1⟩
Next, find the lengths of the vectors:
u = ⟨2, –3⟩
u = ⟨2, –3⟩
Finally, the angle is given by:
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°