Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3>

Answer 1

u = <-5, -4>, v = <-4, -3>

Calculate the angle by using the formula:

cos θ =u.v/|u||v|

u.v =<-5, -4> .<-4, -3>

   =(-5)(-4)+(-4)(-3)

  =20+12

 =32

|u| =|<-5, -4>|

   =√(-5)^2+(-4)^2

   =√41

|u| =|<-4, -3>|

   =√(-4)^2+(-3)^2

   =√25

   =5

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cos θ =u.v/|u||v|

         =32/(√41)(5)

        =1

θ=0,2pi