Matematika

Pertanyaan

titik A(2,0,3),B(-3,1,n+2),dan C(m, - 2,-1)segaris, nilai m-4n adalah

1 Jawaban

  • VEKTOR

    AB = k(BC)
    B - A = k(C - B)
    (-3,1,n+2) - (2,0,3) = k((m, -2, -1) - (-3, 1, n+2))
    (-5, 1, n-1) = k(m+3, -3, n - 3)

    cari dulu nilai k

    1 = -3k
    k = -1/3

    -5 = k(m+3)
    -5 = -1/3(m+3)
    15=m+3
    m = 15-3
    m = 12

    n-1 = k(n-3)
    n-1 = -1/3(n-3)
    3n - 3 = -(n-3)
    3n - 3 = -n + 3
    3n+n = 3+3
    4n = 6
    n = 6/4
    n = 3/2

    m-4n = 12 - 4(3/2) = 12 - 6 = 6

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