Matematika

Pertanyaan

diketahui titik A=(-1,5,4) B=(2,-1,-2) C=(3,p,q) jika titik A.B.C segaris maka nilai p dan q berturut turut = ....

1 Jawaban

  • AC = k AB
    c-a = k b-a
    (3,p,q)-(-1,5,4) = k (2,-1,-2)-(-1,5,4)
    (4,p-5,q-4) = k (3,-6,-5)
    4 = k.3
    k = 4/3

    p-5 = k.-6
    p-5 = 4/3.-6
    p-5 = -8
    p = -3

    q-4 = k.-5
    q-4 = 4/3.-5
    q-4 = -20/3
    q = -20/3 + 4
    q= -20/3 + 12/3
    q= -8/3

Pertanyaan Lainnya