Vectors u and v are graphed. explain in detail each step necessary to find the angle between the two vectors.

The angle between two vectors is:
 cos (theta) = (u.v) / (lul * lvl)
 We look for vectors u and v:
 u = (- 3, -4)
 v = (- 2, -1)
 Making the product point:
 u.v = (- 3, -4). (- 2, -1)
 u.v = ((- 3) * (- 2)) + ((-4) * (- 1))
 u.v = 6 + 4
 u.v = 10
 We look for the vector module:
 lul = root ((- 3) ^ 2 + (-4) ^ 2) = 5
 lvl = root ((- 2) ^ 2 + (-1) ^ 2) = 2.236067977
 Substituting values:
 cos (theta) = (10) / ((5) * (2.236067977))
 Clearing the angle:
 theta = acos ((10) / ((5) * (2.236067977)))
 theta = 26.57 degrees
 
 theta = 26.57 degrees