Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 7>, v = <9, 7> -8.3°

Question

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

-8.3°
1.7°
3.3°
13.3°

in progress 0
Rylee 4 weeks 2021-09-19T21:44:15+00:00 1 Answer 0

Answers ( )

    0
    2021-09-19T21:45:15+00:00

    Answer:

    Step-by-step explanation:

    If θ is the angle between two vectors u and v, then cosθ = (u·v) / [llull llvll]

     

         u·v = (8)(9) + (7)(7) = 121

     

         llull = √[(8)2 + (9)2] = √145      llvll = √[(7)2+(7)2] = 7√2

     

    So, cosθ = 121/ [7√290]

     

                = 1.015052094

             θ = Cos-1(1.015052094) ≈ 3.3

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )