Matematika

Pertanyaan

tolong ya jawab mtk minat kelas 10 yg no 11
mksh
tolong ya jawab mtk minat kelas 10 yg no 11 mksh

1 Jawaban

  • OA = i + 2j = (1, 2)
    OB = 4i + j = (4, 1)

    Sudut antara OA dan OB adalah Φ

    Gunakan rumus
    Cos Φ = OA × OB / |OA| × |OB|

    Cari OA × OB
    (1, 2) × (4, 1) = 4 + 2 = 6

    |OA| = √(1)² + (2)² = √5
    |OB| = √(4)² + (1)² = √17

    Cos Φ = (6) / √5 × √17
    Cos Φ = 6 / √85

    = √(√85)² - 6²
    = √85 - 36
    = √49
    = 7

    Nilai tan Φ = 7/6