Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

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°