Matematika

Pertanyaan

yang bisa tolong dibantu no 8
yang bisa tolong dibantu no 8

1 Jawaban

  • |a pada b| = 2√6 = √24

    a pada b
    = (a . b) b / |b|²
    = (2+x+2) (2 1 1) / [√(2²+1²+1²)]²
    = (4+x) (2 1 1) / 6
    = ((8+2x)/6 (4+x)/6 (4+x)/6)

    |a pada b|
    = √[((8+2x)/6)²+((4+x)/6)²+((4+x)/6)²]
    = √[(64+4x²+16+x²+16+x²)/36]
    = √[(96+6x²)/36]
    √24 = √((96+6x²)/36)
    24 = (96+ 6x²)/36
    96+6x² = 24.36
    96+6x² = 864
    6x² = 864-96
    x² = 768 /6
    x = √128 = 8√2

    |a| = √(1²+(8√2)²+2²)
    = √(1+128+4) = √133
    |b| = √(2²+1²+1²)
    = √6

    Cos α= a.b / |a||b|
    Cos α= 2 + 8√2 + 2 / √133*√6
    Cos α= 4 + 8√2 / √798