Matematika

Pertanyaan

tentang vektor, pliss kak bantuin
tentang vektor, pliss kak bantuin

1 Jawaban

  • p = 4i - 2j + 5k = (4, -2, 5)
    q = 6i + 8j - 12k = (6, 8, -12)

    a) |p|
    = √(4)² + (-2)² + (5)²
    = √16 + 4 + 25
    = √45
    = 3√5

    b) |q|
    = √(6)² + (8)² + (-12)²
    = √36 + 64 + 144
    = √224
    = 4√14

    c) |p + q|
    = √(4 + 6)² + (-2 + 8)² + (5 - 12)²
    = √(10)² + (6)² + (-7)²
    = √100 + 36 + 49
    = √185

    d) |p - q|
    = √(4 - 6)² + (-2 - 8)² + (5 + 12)²
    = √(-2)² + (-10)² + (17)²
    = √4 + 100 + 289
    = √393

    e) |p + q| ≠ |p| + |q|