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Jika vektor a = (-1, 3, 2), b = (4, -3, -2), dan 2a + x – 3b = (-11, 15, 12), maka x = ....

Jika vektor a = (-1, 3, 2), b = (4, -3, -2), dan 2a + x – 3b = (-11, 15, 12), maka x = ....

    A.   (3, 0 ,2)

    B.    (2, 0, 2)

    C.    (0, 3, 3)

    D.   (0, 3, 2)

    E.    (0, 2, 3)

Pembahasan:

2a + x – 3b = (-11, 15, 12)

x = (-11, 15, 12) – 2a + 3b

   = (-11, 15, 12) – 2(-1, 3, 2) + 3(4, -3, -2)

   = (-11, 15, 12) – (-2. 6, 4) + (12, -9, -6)

   = (-11 + 2 + 12, 15 – 6 – 9, 12 – 4 – 6)

   = (3, 0, 2)

Jawaban : A

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