Matematika

Pertanyaan

tolong!! bantu yang baik☺ yang no 5
tolong!! bantu yang baik☺ yang no 5

1 Jawaban

  • mis : C = (x,y,z)
    AC : CB = 1 : 3
    (x-5) : (9-x) = 1 : 3
    3(x-5) = 1(9-x)
    3x - 15 = 9 - x
    3x + x = 9 + 15
    4x = 24
    x = 24/4 = 6

    (y-2) : (10-y) = 1 : 3
    3(y-2) = 1(10-y)
    3y - 6 = 10 - y
    3y + y = 10 + 6
    4y = 16
    y = 16/4 = 4

    (z-1) : (13-z) = 1 : 3
    3(z-1) = 1(13-z)
    3z - 3 = 13 - z
    3z + z = 13 + 3
    4z = 16
    z = 16/4 = 4

    Jadi C (6,4,4)
    Vektor u = AC
    = (1,2,3)
    Vektor v = CB
    = (3,6,9)

    B.
    u.v = (1.3 + 2.6 + 3.9)
    = (3 + 12 + 27)
    = 42