DAFTAR ISI
Halaman
Kata pengantar .................................................................................................. i
Daftar isi ........................................................................................................ ii
Kmpetensi, sub kompetensi ............................................................................ iii
Peta Bahan Ajar .............................................................................................. iv
BAB I PENDAHULUAN .............................................................................. 1
A. Latar Belakang ............................................................................. 1
B. Tujuan ........................................................................................... 2
C. Ruang lingkup .............................................................................. 2
BAB II VEKTOR R2, R3, DAN TERAPANNYA ..................................... 3
A. BESARAN VEKTOR, SKALAR , PENJUMLAHAN, DAN
PENGURANGAN ........................................................................... 3
1. Konsep Vektor ........................................................................ 3
2. Penjumlahan Vektor ................................................................. 4
3. Vektor Posisi dan Vektor Nol ............................................... 4
4. Pengertian Kombinasi Linear dan Basis ................................... 7
Latihan 1 ................................................................................... 10
B. VEKTOR DALAM SISTEM KOORDINAT CARTESIUS ................ 11
C. BASIS NORMAL STANDAR ............................................................... 12
D. KOORDINAT PEMBAGI RUAS GARIS .......................................... 13
E. DOT VEKTOR ............................................................................. 14
Latihan 2 ................................................................................... ....... 19
F. CROSS VEKTOR .......................................................................... 20
1. Definisi ................................................................................... 20
2. Sifat-sifat cross vektor ............................................................. 23
G. TERAPAN ....................................................................................... 24
1. Vektor Arah Garis Lurus ........................................................ 24
2. Vektor Normal Garis Lurus Dalam R2 dan Normal Bidang
dalam R3 ................................................................................... 26
3. Proyeksi Orthogonal Suatu Vektor ke Vektor Lain ................... 26
4. Jarak Titik ke Garis dalam R2 dan Titik ke Bidang dalam R3 ... 28
5. Luas Permukaan dan volum bangun ruang ............................ 30
6. Jarak Dua Garis Bersilangan ................................................... 31
Latihan 3 .................................................................................. 35
BAB III PENUTUP ....................................................................................... 37
DAFTAR PUSTAKA .................................................................................... 39
Kunci Jawaban Soal Latihan ........................................................................ 40