Matematika

Pertanyaan

diket vektor v = 3i -2j, v = -1 + 4j, w = 7i - 8j jika w= pu + qv nilai p + q =

1 Jawaban

  • u = 3i - 2j
    v = -1i + 4j
    w = 7i - 8j

    w = pu + qv
    7i - 8j = p (3i - 2j) + q (-1i +4j)

    7 = 3p - q  ⇒ q = 3p - 7

    -8 = -2p + 4q
    -8 = -2p + 4 (3p - 7)
    -8 = -2p + 12p - 28
    10p = 20
        p = 2

    q = 3p - 7
       = 6 - 7
       = -1

    p+q = 2 - 1= 1

    maaf klo salah

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