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

Mapel : Matematika
Kelas : X SMA
Bab : Vektor

Pembahasan :
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 . C
= [2 4 3] . [1 3 1]
= (2)(1) + (4)(3) + (3)(1)
= 2 + 12 + 3
= 17

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 + 12 + 3
= 17