Diketahui vektor vektor basis berikut:

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diketahui vektor vektor basis berikut:
p = 2i – j + 3k
q = i -2j + 5k
r = 3i + 3j – 2k

Daftar isi : hide
1 diketahui vektor vektor basis berikut: p = 2i – j + 3k q = i -2j + 5k r = 3i + 3j – 2k
2 tentukan: a. p . q b. (p + q) q
2.1 Rekomendasi Lain :

tentukan:
a. p . q
b. (p + q) q

Jawabannya adalah
a. p • q = 19
b. (p + q) q = 49

Jika terdapat vektor u dan v :
u = [(u₁) (u₂) (u₃)] v = [(v₁) (v₂) (v₃)] Maka,
u•v = u₁v₁+ u₂v₂ + u₃v₃
u ± v = [(u₁) (u₂)(u₃)] ± [(v₁)(v₂)(v₃)] = [(u₁±v₁) (u₂±v₂) (u₃±v₃)]

Diketahui :
p = 2i – j + 3k = [(2) (-1) (3)] q = i -2j + 5k = [(1) (-2) (5)] r = 3i + 3j – 2k = [(3) (3) (-2)]

a. p • q = 2·1 + (-1) (-2) +3·5
= 2 + 2 + 15
= 19
b. (p + q) q = ([(2) (-1) (3)] + [(1) (-2) (5)]) • [(1) (-2) (5)] = [(2+1) (-1+(-2)) (3+5)] • [(1) (-2) (5)] = [(3) (-3) (8)] • [(1) (-2) (5)] = 3·1 + (-3) (-2) + 8·5
= 3 + 6 + 40
= 49

Jadi diperoleh :
a. p • q = 19
b. (p + q) q = 49

Rekomendasi Lain :

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