Find the angle 0 between the vectors. u = (1, 1, 1, 0), v = (4, 4, 4, 4).

30 degrees

Step-by-step explanation:

u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12

|u|=sqrt (1^2+1^2+1^2+0^2) = sqrt (3)

|v|=sqrt (4^2+4^2+4^2+4^2) = sqrt (4*4^2) = 2*4=8

cos (theta) = u dot v / (|u||v|)

cos (theta) = 12 / (sqrt (3) * 8)

cos (theta) = 3 / (sqrt (3) * 2)

cos (theta) = sqrt (3) / 2

theta=30 degrees