Matematika

Pertanyaan

diketahui titik-titk P(3,3,6),Q(4,1,10) ,dan R(1,x,y) terletak dalam satu garis. nilai x+y=

1 Jawaban

  • PQ = kQR
    Q-P = k(R-Q)
    (4,1,10) - (3,3,6) = k((1,x,y) - (4,1,10)
    (1,-2,4) = k(-3, x-1, y-10)

    1 = k(-3)
    k = -1/3

    -2 = k(x - 1)
    -2 = -1/3 (x - 1)
    6 = x - 1
    x = 6+1
    x = 7

    4 = k(y - 10)
    4 = -1/3 (y - 10)
    -12 = y - 10
    y = 10 - 12
    y = -2

    x + y = 7 + (-2) = 5

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