Matematika

Pertanyaan

Jika titik A(6, 4, -2), B(4, 3, x), dan C(0, 1, 10) segaris, nilai x =..?

1 Jawaban

  • AB
    = B - A
    = (-2,-1,x+2)

    BC
    = C- B
    =(-4,-2,10-x)

    AB dan BC segaris, maka
    AB = k.BC
    (-2,-1,x+2) = k(-4,-2,10-x)

    -4k = -2
    k = 1/2

    k(10-x) = x+2
    1/2(10-x) = x+2
    5 - 1/2x = x + 2
    3/2x = 3
    x = 3 * 2/3
    x = 2

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