Matematika

Pertanyaan

proyeksi vektor ortogonal a = 2i + xj + k pada b = 3i + 2j + k adalah c = 1/14(-3i + 2j - k). nilai x =

1 Jawaban

  • Ralat soal, harusnya b = (3, -2, 1)

    c = ( a.b / |b|² ) b
    1/14 (-3, 2, -1) = [(6 + 2x + 1) / (9 + 1 + 4)] (3, -2, 1)
    1/14 (-3, 2, -1) = (7+2x)/14 (3, -2, 1)
    (-3, 2, -1) = (7+2x) (3, -2, 1)
    -3 = (7+2x) . 3
    7+2x = -1
    2x = -8
    x = -4

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