Matematika

Pertanyaan

Mohon bantuannya.. Dikumpulin hari ini.. Pertanyaanya diganti a dot b
Mohon bantuannya.. Dikumpulin hari ini.. Pertanyaanya diganti a dot b

1 Jawaban

  • Vektor

    diketahui |a| = 3 ; |b| = 4
    dan cos 120° = -1/2

    rumus yang digunakan 
    a . b = |a| |b| cos 120°
    a . a = |a|²
    ====================================

    >> a . (b + a)
    = a . b + a . a
    = |a| |b| cos 120° + a . a
    = 3 . 4 . -1/2 + 3²
    = -6 + 9
    = 3

    >> b . (a + b)
    = b . a + b . b
    = |b| |a| cos 120° + |b|²
    = 4 . 3 . -1/2 + 16
    = -6 + 16
    = 10