Diketahui a: 3i + 2j + k b: (2, 4, 3) c: (1, 3, 1) Tentukan a: 2a + 3b-c b: b*c
Matematika
WRRMB
Pertanyaan
Diketahui a: 3i + 2j + k
b: (2, 4, 3)
c: (1, 3, 1)
Tentukan
a: 2a + 3b-c
b: b*c
b: (2, 4, 3)
c: (1, 3, 1)
Tentukan
a: 2a + 3b-c
b: b*c
1 Jawaban
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1. Jawaban arsetpopeye
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