KOORDINAT KARTESIUS DAN VEKTOR DALAM RUANG DIMENSI TIGA
Koordinat Kartesius dan Vektor dalam Ruang Dimensi Tiga
A. Koordinat Kartesius dalam Ruang Dimensi Dua
Pada pembahasan sebelumnya kita telah membahas tentang sistem kartesius pada bidang yaitu sistem kartesius pada dimensi 2 atau 2D. dimana untuk sistem koordinat kartesius 2D ini kita hanya mengenal 2 sumbu koordinat yaitu sumbu x dan sumbu y sehingga membentuk suatu bidang. Maka bagaimana dengan sisitem koordinat kartesius pada ruang dimensi tiga atau 3D ini sendiri? Pada sisitem koordinat kartesius 3D ini kita mengeal dengan adanya 3 sumbu yang terdapat pada koordinat kartesiusnya yaitu sumbu x, sumbu y dan sumbu z sehingga akan berbentuk ruang bukan bidang yang terdapat pada koordinat kartesius 2 D. Adapun gambar sisitem koordinat kartesius 3D adalah sebagai berikut :
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGDNWecL3NvIUQnsRdQz9CpIyGB86I9CfryajPIdW9GFNZ6hs3zS732Q3i45wBtyljbigfIpp46G9QJSR6TzwncEy38lkRdifodH-rBUpph-rXFysIIb0dg1nVobxEH6CtGhmbxnvYKEvb/s200/q2.jpg)
![](data:image/png;base64,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)
Pada gambar diatas sumbu yang berwarna merah adalah sumbu x, sumbu yang berwarna hijau adalah sumbu y dan sumbu yang berwarna biru adalah sumbu z. Ketiga sumbu ini menentukan 3 bidang yaitu bidang xy, bidang x zdan bidang yz.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGDNWecL3NvIUQnsRdQz9CpIyGB86I9CfryajPIdW9GFNZ6hs3zS732Q3i45wBtyljbigfIpp46G9QJSR6TzwncEy38lkRdifodH-rBUpph-rXFysIIb0dg1nVobxEH6CtGhmbxnvYKEvb/s200/q2.jpg)
Pada gambar diatas sumbu yang berwarna merah adalah sumbu x, sumbu yang berwarna hijau adalah sumbu y dan sumbu yang berwarna biru adalah sumbu z. Ketiga sumbu ini menentukan 3 bidang yaitu bidang xy, bidang x zdan bidang yz.
Dan pada sistem koordinat kartesius 2D kita mengenal dengan adanya istilah kuadran yaitu kuadran I, II, III dan IV. Sedangkan pada sistem koordinat kartesius 3D kita akan mengenal istilah oktan. Dimana oktan pada koordinat artesius ini ada 8 oktan. Dimana gambar kedelapan oktan pada koordinat kartesius 3D ini adalah sebagai berikut :
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWjwQR1Q2HG6gCut9a7mUuTNPlCIx0-ufu-t5JAZ04hhhibw6xptl_RMaPGjfUHObfl0yIrvjnEbYEVimiWWh-LP2BTYLt6Jv5gj3j49RwLnJL9488izgzziWfG5VR0xn4eEmcu3-ku6vm/s1600/q.png)
Terlihat pada gambar diatas bahwa oktan I, II, III dan IV berada di atas bidang xy sedangkan untuk oktan V, VI, VII dan VIII berada dibwah bidang xy. Posisi oktan-oktan ini berlawanan dengan arah jarum jam. Dimana adapun syarat atau ketentukan untuk nilai x, y dan z untuk setiap oktan-oktannya yaitu sebagai berikut :
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWjwQR1Q2HG6gCut9a7mUuTNPlCIx0-ufu-t5JAZ04hhhibw6xptl_RMaPGjfUHObfl0yIrvjnEbYEVimiWWh-LP2BTYLt6Jv5gj3j49RwLnJL9488izgzziWfG5VR0xn4eEmcu3-ku6vm/s1600/q.png)
Terlihat pada gambar diatas bahwa oktan I, II, III dan IV berada di atas bidang xy sedangkan untuk oktan V, VI, VII dan VIII berada dibwah bidang xy. Posisi oktan-oktan ini berlawanan dengan arah jarum jam. Dimana adapun syarat atau ketentukan untuk nilai x, y dan z untuk setiap oktan-oktannya yaitu sebagai berikut :
1. Oktan I = ( +x, +y, +z)
2. Oktan II = ( +x, -y, +z)
3. Oktan III = ( -x, -y, +z)
4. Oktan IV = ( -x, +y, +z)
5. Oktan V = ( +x, +y, -z)
6. Oktan VI = ( +x, -y, -z)
7. Oktan VII = ( -x, -y, -z)
8. Oktan VIII = ( -x, +y, -z)
Letak suatu titik ditentukan oleh jarak titik itu ke bidang-bidang koordinat xy, xz, yz dan arah positif atau negative. Oleh karena itu suatu titik tertentu oleh pasangan (triple) tiga ilangan, misalnya titik P(x,y,z). pasanagn pertama yaitu x disebut koordinat x atau absis. Pasangan kedua yaitu y disebut koordinat y atau ordinat. Dan pasangan ketiga disebut koordinat z atau aplikat.
Selanjutnya untuk menggambar sebuah titik pada koordinat kartesius 3D kita tidak perlu menggambar bangun ruangnya tetapi cukup dengan tiga ruas garis yang menyatakan panjang absis, orninat dan aplikatnya.
Contoh :
Tentukan posisi letak titik A(2,1,2) pada sistem koordinat kartesius 3D. tentukan juga terdapat pada oktan berapa titik A tersebut !
Jawab :
Diketahui A(2,1,2)
Maka untuk menggambar titik A tersebut kita langsung saja dengan cara pertama melangkah 2 satuan ke arah sumbu x positif kemudian lanjutkan melangkah 1 satuan ke arah sumbu y positif dan terakhir melangkah 2 satuan ke arah sumbu z positif. Maka gambarnya seperti pada tampak dibawah ini :
![](data:image/png;base64,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)
Karena titik A(2,1,2) maka berdasarkan syarat atau ketentuan titik di tiap oktan maka ini sesuai dengan Oktan I = ( +x, +y, +z). maka didapatlah bahwa titik A(2,1,2) berada pada Oktan I pada sistem koordinat kartesius 3D.
B. Jarak Dua Titik
Jarak Dua Titik
Perhatikan gambar dibawah ini, kita akan menentukan jarak titik asal O ke titik P (x1, y1, z1).
|AB| = y1
|BP| = z1
Perhatikan segitiga AOB yang siku-siku di A, maka :
|OB|2 = |OA|2 + |AB|2
|OB|2 = x12 + y12
Kemudian perhatikan pada segitiga OBP yang siku-siku di B berlaku bahwa :
|OP|2 = |OB|2 + |BP|2
|OP|2 = x12 + y12 + z12 (jika jarak O ke P(x1,y1,z1))
Sehingga kita dapatkan bahwa untuk mencari jarak dari titik asal ke suatu titik adalah
Mencari jarak suatu titik ke titik yang lain
Dimisalkan titik A(x1,y1,z1) dan titik B(x2,y2,z2), maka untuk mencari jarak AB kita gunakan :
Vektor Dalam Ruang Dimensi Tiga
Panjang Vektor :
Diketahui suatu vektor a = < a1, a2, a3 >, maka panjang vektor a adalah :
Jika diketahui suatu vektor a = < a1, a2, a3 > dan b = < b1, b2, b3 > maka jarak vektor AB :
Jika vektor u = < u1, u2, u3 > dan vektor v = < v1, v2, v3 > maka perkalian titiknya didefinisikan sama dengan vektor pada bidang, yaitu :
Apabila vektor u tegak lurus terhadap vektor v maka dapat dibuktikan dengan :
Perkalian Vektor
Jika diketahui suatu vektor a = < a1, a2, a3 > dan b = < b1, b2, b3 > maka :
Hasil Kali Silang Dua Vektor
Vektor bukan hanya berada pada bidang tapi bisa juga berada pada ruang. Pada bidang suatu titik A dapat dinyatakan dengan dua koordinat yaitu absis dan ordinat, misalnya A (x1,y1).
Sehingga dapat diturunkan seperti sama halnya dengan vector pada bidang bahwa :
Kita ingat lagi bahwa hasil kali titik dari dua vector adalah suatu scalar. Maka seperti pada vector bidang pula bahwa jika dua vector saling tegak lurus maka hasil kali titiknya sama dengan nol. Dan sebaliknya apabila hasil kali dari dua vector yang bukan vektor nol sama dengan nol maka dua vector tersebut saling tegak lurus. Hal ini dapat ditulis sebagai berikut :
D. Menggambar Sebuah Persamaan Pada Sistem Koordinat Kartesius Ruang Dimensi Tiga
Sama halnya dengan menggambar persamaan di bidang dimensi dua, pada ruang dimensi tiga ini saat kita akan menggambar dari suatu persamaan yang diketahui maka kita cari terlebih dahulu titik potong dari ketiga sumbu Dimana untuk titik potong di sumbu x maka y = z = 0, untuk titik potong si sumbu y maka x = z = 0 dan untuk titik potong di sumbu z maka x = y = 0.
Sebagai contoh misalnya diketahui sebuah persamaan yaitu x + 2y + z = 4. Maka pertama kita harus mencari titik-titik potongnya dahulu yaitu :
1. Titik potong di sumbu x maka y = z = 0, sehingga :
x + 2y + z = 4
x + 2(0) + 0 = 4
x = 4
Maka titik potong di sumbu x adalah (4,0,0)
2. Titik potong di sumbu y maka x = z = 0, sehingga :
x + 2y + z = 4
0 + 2y + 0 = 4
2y = 4
y =2
Maka titik potong di sumbu x adalah (0,2,0)
3. Titik potong di sumbu z maka x = y = 0, sehingga :
x + 2y + z = 4
0 + 2(0) + z = 4
z = 4
Maka titik potong di sumbu x adalah (0,0,4)
Setelah kita dapat titik-titik potongnya maka kita dapat langsung menentukan letak dari titik-titik potong tersebut. Dan dengan bantuan geogebra didapatlah gambar dari persamaan x + 2y + z = 4 adalah sebagai berikut :
![](data:image/png;base64,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)
![](data:image/png;base64,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)
0 komentar:
Posting Komentar