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DIFERENSIAL VEKTOR

DIFERENSIAL VEKTOR. Kuliah 1. Materi. Vektor ruang berdimensi 2 Vektor ruang berdimensi 3 Vektor product Dot product. VEKTOR RUANG 2. Besaran Skalar dan Besaran Vektor Besaran skalar adalah besaran yang hanya memiliki besar (panjang/nilai) Ex: waktu, suhu, panjang, luas, volum, massa

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DIFERENSIAL VEKTOR

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  1. DIFERENSIAL VEKTOR Kuliah 1

  2. Materi • Vektorruangberdimensi 2 • Vektorruangberdimensi 3 • Vektor product • Dot product

  3. VEKTOR RUANG 2 • Besaran Skalar dan Besaran Vektor • Besaran skalar adalah besaran yang hanya memiliki besar (panjang/nilai) • Ex: waktu, suhu, panjang, luas, volum, massa • Besaran Vektor-> memiliki besar dan arah • Ex: kecepatan, percepatan, gaya, momentum, medan magnet, medan listrik • Notasi Vektor • Ruas garis berarah yg panjang dan arahnya tertentu. • Vektor dinyatakan dg huruf ū, u, u (bold), atau u (italic). • Jika u menyatakan ruas garis berarah dari A ke B, maka ditulis dengan lambang u = AB • Notasi u dibaca “vektor u”

  4. Vektor satuan: Vektorsatuanpadaarahpositifsumbux, ydanzdiberitanda :

  5. Kita dapattulisvektordansebagaiberikut : disebut komponen vektor

  6. Arahcosinus (l,m,n) Jikatitik P=2,4,5 Tentukanl,m,n

  7. Sudutanatara 2 vektor A=2i+3j+4k B= i-2j+3k Tentukan

  8. Scalar Product (dot product)

  9. Vector product (cross product)

  10. Perkaliantitik (scalar product) Vector Product

  11. SCALAR TRIPLE PRODUCT OF TREE VECTOR

  12. SIFAT SCALAR TRIPLE PRODUCT

  13. b x c a β h c Scalar Triple ProductGeometric representation • a,b,cvektor • βsudutantara (bxc) dan a • h tinggijajarangenjang b Volume jajarangenjang = a.(b x c) Jika a.(b x c) =0 maka volume jajarangenjang coplanar

  14. VECTOR PRODUCT OF TREE VECTOR

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