Matematika

Pertanyaan

jika titik koordinat titik A(4,-2)B(1,3)dan C (-3,2)hasil dari AB.BC

2 Jawaban

  • [tex]AB = B - A \\ AB = (1,3) - (4,-2) \\ AB = (-3,5) \\ \\ BC = C-B \\ BC=(-3,2)-(1,3) \\ BC=(-4,-1) \\ \\ AB.BC=(-3,5).(-4,-1) \\ AB.BC=12 - 5 \\ AB.BC=7[/tex]
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    Pembahasan :
    AB = b - a
    AB = [1 3] - [4 -2]
    AB = [(1 - 4) (3 + 2)]
    AB = [-3 5]

    BC = c - b
    BC = [-3 2] - [1 3]
    BC = [(-3 - 1) (2 - 3]
    BC = [-4 -1]

    Maka...
    AB . BC
    = [-3 5] . [-4 -1]
    = (-3).(-4) + (5)(-1)
    = 12 - 5
    = 7

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