Matematika

Pertanyaan

mohon dibantu no 12 & 13
mohon dibantu no 12 & 13

1 Jawaban

  • 12)
    ditanya : |a+2b| (cos 120 = -1/2);cosθ=cos120
    jawab :
    |a+2b|^2 = |a|^2 + |2b|^2 + 2|a||2b|cosθ
    = 8^2 + 12^2 + 2.8.12.-1/2
    =64 + 144 -96
    |a+2b|^2= 112
    |a+2b| = akar112
    = 4akar7 [B]

    13)
    ditanya : |a-b|^2 (cosθ=cos60=1/2)
    jawab :
    |a-b|^2= |a|^2 + |b|^2 - 2|a||b|cosθ
    = 4^2 + 3^2 - 2.4.3.1/2
    = 16 + 9 - 12
    = 13 [B]