Matematika

Pertanyaan

Diketahui a: 3i + 2j + k
b: (2, 4, 3)
c: (1, 3, 1)
Tentukan
a: 2a + 3b-c
b: b*c

1 Jawaban

  • a = 3i + 2j + k = (3, 2, 1)
    b = (2, 4, 3)
    c = (1, 3, 1)

    a) 2a + 3b - c
    = 2(3, 2, 1) + 3(2, 4, 3) - (1, 3, 1)
    = (6, 4, 2) + (6, 12, 9) - (1, 3, 1)
    = (11, 13, 10)
    = 11i + 13j + 10k

    b) b.c = (2, 4, 3).(1, 3, 1) = 2(1) + 4(3) + 3(1) = 2 + 12 + 3 = 17

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