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# MIA 2 - Vector Concept Review.pdf

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# MIA 2 - Vector Concept Review.pdf

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### MIA 2 - Vector Concept Review.pdf

1. 1. CONCEPT REVIEW VECTOR vs SCALAR Berupa nilai dengan arah tertentu Berupa nilai/besaran Ԧ 𝑎 = 𝑚 Ƹ 𝑖 + 𝑛 Ƹ 𝑗 + 𝑝෠ 𝑘 𝑎 = 𝑥, ∀𝑥 ∈ ℝ Hasil dari operasi hitung 2 vektor: Ԧ 𝑎 + 𝑏, Ԧ 𝑎 − 𝑏, Ԧ 𝑎 × 𝑏 Hasil dari perkalian skalar vektor (vector dot product) Ԧ 𝑎 ∙ 𝑏 Hasil dari menghitung Panjang vektor Ԧ 𝑎 , Ԧ 𝑎 + 𝑏 , Ԧ 𝑎 − 𝑏 , Ԧ 𝑎 × 𝑏 , Ԧ 𝑎 ∙ 𝑏 dll
2. 2. CONCEPT REVIEW PENULISAN VEKTOR Ԧ 𝑎 = ത 𝑎 = ො 𝑎 = 𝒂 OPERASI MATRIKS Ԧ 𝑔 = 𝑥 𝑦 𝑧 Ԧ 𝑔𝑇 = 𝑥 𝑦 𝑧 ℎ = 1 2 3 4 5 6 ℎ𝑇 = 1 3 5 2 4 6 Misalkan Ԧ 𝑧 = 𝑎 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔 ℎ 𝑖 𝐷𝑒𝑡 Ԧ 𝑧 = 𝑎 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔 ℎ 𝑖 𝐷𝑒𝑡 Ԧ 𝑓 = 𝑎. 𝑒. 𝑖 + 𝑏. 𝑓. 𝑔 + 𝑐. 𝑑. ℎ − [ 𝑔. 𝑒. 𝑐 + ℎ. 𝑓. 𝑎 + (𝑖. 𝑑. 𝑏)] Ԧ 𝑎 = (𝑚, 𝑛, 𝑝) 𝑏 = (𝑐, 𝑑, 𝑓) Ԧ 𝑎 = 𝑚 𝑛 𝑝 𝑏 = 𝑑 𝑒 𝑓 Misalkan: Ԧ 𝑎 = 𝑚Ԧ 𝑖 + 𝑛Ԧ 𝑗 + 𝑝𝑘 𝑏 = 𝑑Ԧ 𝑖 + 𝑒Ԧ 𝑗 + 𝑓𝑘
3. 3. CONCEPT REVIEW Ԧ 𝑎 + 𝑏 2 = Ԧ 𝑎 2 + 𝑏 2 + 2 Ԧ 𝑎 𝑏 cos 𝜃 Ԧ 𝑎 + 𝑏 2 = Ԧ 𝑎 2 + 𝑏 2 + 2 Ԧ 𝑎 ⋅ 𝑏 Ԧ 𝑎 − 𝑏 2 = Ԧ 𝑎 2 + 𝑏 2 − 2 Ԧ 𝑎 𝑏 cos 𝜃 Ԧ 𝑎 + 𝑏 2 = Ԧ 𝑎 2 + 𝑏 2 − 2 Ԧ 𝑎 ⋅ 𝑏
4. 4. CONCEPT REVIEW
5. 5. CONCEPT REVIEW
6. 6. 𝒚 = 𝐬𝐢𝐧 𝒙 𝒚 = 𝐜𝐨𝐬 𝒙