Matematika

Pertanyaan

Tolong pakai caranya dong

Di ketahui vektor u = 3 2 1 dan v= 2 3 -1 jika b = 2u - 3v dan a = u + 2v maka nilai a.b = .....

A 45
B 38
C 35
D - 35
E - 45

1 Jawaban

  • Dik : Vektor U = ( 3,2,1 )
    V = ( 2,3-1 )
    jika - 2u -3v = b
    - u+2v = a
    Dit: nilai a.b?
    jawab:
    1. mencari "b" = 2u-3v
    = 2(3,2,1) - 3(2,3,-1)
    = (6,4,2) - (6,9,-3)
    = (0,-5,5).
    2. mencari "a" = u + 2v
    = (3,2,1) + 2(2,3,-1)
    = (3,2,1) + (4,6,-2)
    = (7,8,-1)
    3. menacari "a.b" = (0,-5,5) . (7,8,-1)
    = (0,-40,-5)
    》0-40-5
    》 -45
    jadi jawabannya E. -45

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