Page 30 - E-Modul Pembelajaran Fisika Materi Vektor

P. 30

Diberikan vektor

⃗
̂

= 4i + 2ĵ dan = 6i + ĵ + 3k
̂
̂
Hitunglah:

1. 2
Jawab:

2 = 2(4i + 2ĵ)
̂
= 6i + 4ĵ
̂

⃗
2. 4
Jawab:
̂
⃗
4 = 4(6i + ĵ + 3k)
̂
̂
= 24i + 4ĵ + 12k
̂

⃗
3. ∙
Jawab:
⃗
̂
∙ = (4i + 2ĵ) ∙ (6i + ĵ + 3k)
̂
̂
= (4 ∙ 6) + (2 ∙ 1) + (0 ∙ 3)
= 24 + 2
= 26

⃗
4. ×
̂

⃗
× = (4i + 2ĵ) × (6i + ĵ + 3k)
̂
̂
̂
= (2 ∙ 3 − 0 ∙ 1)i + (0 ∙ 6 − 4 ∙ 3)ĵ + (4 ∙ 1 − 2 ∙ 6)k
̂
̂
= (6 − 0)i + (0 − 12)ĵ + (4 − 12)k
̂
̂
= 6i − 12ĵ − 8k
̂

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