The angle between the two given vectors is 16.26°
Here we have the vectors u = (3, 4) and y = (4, 3).
We know that:
u*y = |u|*|y|*cos(θ)
Then:
u*y = 3*4 + 4*3 = 24
And:
|u| = √(3^2 + 4^2) = √25 = 5 = |y|
Then we have:
24 = 5*5*cos(θ)
24/25 = cos(θ)
To find theta, we apply the inverse cosine function in both sides:
Acos(24/25) = θ = 16.26°
If you want to learn more about vectors:
https://brainly.com/question/3184914
#SPJ2
