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Diketahui vektor a = (2, 4, 3), b = (1, 3, -2), dan vektor c = (-5, 2, 3), jika 2a + 3b – c = 3d, maka vektor d

Diketahui vektor a = (2, 4, 3), b = (1, 3, -2), dan vektor c = (-5, 2, 3), jika 2a + 3b – c = 3d, maka vektor d adalah ….

Jawab:

2a + 3b – c = 3d

3d = 2(2, 4, 3) + 3(1, 3, -2) - (-5, 2, 3)

     = (4, 8, 6) + (3, 9, -6) - (-5, 2, 3)

3d = (12, 15, -3)

  d = 1/3 (12, 15, -3)

  d = (4, 5, -1)

Jadi vektor d adalah (4, 5, -1).

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