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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