{"id":134292,"date":"2017-07-05T15:22:01","date_gmt":"2017-07-05T08:22:01","guid":{"rendered":"https:\/\/video.quipper.com\/id\/blog\/?p=134292"},"modified":"2020-09-18T11:33:27","modified_gmt":"2020-09-18T04:33:27","slug":"kupas-tuntas-matematika-vektor-sma-kelas-x-peminatan","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/matematika-un-sma\/kupas-tuntas-matematika-vektor-sma-kelas-x-peminatan\/","title":{"rendered":"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan"},"content":{"rendered":"<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/Blog-Image-Vektor-Peminatan-Kelas-10.jpg\" data-rel=\"penci-gallery-image-content\" ><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-134302\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/Blog-Image-Vektor-Peminatan-Kelas-10.jpg\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan \" width=\"800\" height=\"521\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Quipperian! Dalam materi kali ini, kita akan membahas tentang rumus matematika vektor, pengertian besaran vektor, pengertian besaran skalar, perkalian skalar dengan vektor, sifat-sifat skalar dengan vektor, penjumlahan dan pengurangan vektor, notasi vektor, dan panjang vektor.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Yuk mulai belajarnya!<\/span><\/p>\n<h2><b>Pengertian Besaran Vektor<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Dalam Matematika dan fisika dikenal dua besaran, yaitu besaran vektor dan besaran skalar. Besaran skalar adalah besaran yang memiliki besar (magnitude) saja, misalnya waktu, suhu, panjang, luas, volume, massa dan sebagainya. <\/span><\/p>\n<h3 class=\"entry-title\"><a href=\"https:\/\/video.quipper.com\/id\/blog\/un\/matematika-un-sma\/mau-siap-menghadapi-un-matematika-ini-5-contoh-soal-vektor-matematika-sma-kelas-10\/\" target=\"_blank\" rel=\"noopener noreferrer\">Mau Siap Menghadapi UN Matematika? Ini 5 Contoh Soal Vektor Matematika SMA Kelas 10!<\/a><\/h3>\n<p><span style=\"font-weight: 400;\">Sedangkan, Besaran Vektor adalah besaran yang memiliki besar (magnitude) dan arah (direction), misalnya kecepatan, percepatan, gaya, momentum, momen, impuls, medan magnetik dan sebagainya.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Vektor adalah suatu ruas garis berarah yang memiliki besaran (panjang, nilai) dan arah tertentu, dapat dinyatakan dalam grafis berikut.<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/61e2f-vektor-1.png\" data-rel=\"penci-gallery-image-content\" ><img decoding=\"async\" class=\"aligncenter wp-image-134312 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/61e2f-vektor-1.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan \" width=\"223\" height=\"137\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Bila u menyatakan garis berarah dari A ke B maka dituliskan lambang<\/span><\/p>\n<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-2.png\" data-rel=\"penci-gallery-image-content\" ><img decoding=\"async\" class=\"aligncenter wp-image-134322 size-full\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-2.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan \" width=\"140\" height=\"43\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">( dibaca vektor AB mewakili vektor u, sedangkan AB adalah vektor yang pangkalnya A dan ujungnya B)<\/span><\/p>\n<h2><b>1. Dua buah vektor disebut sama jika dan hanya jika panjang dan arah vektor sama<\/b><\/h2>\n<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-3.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134332 size-full\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-3.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"77\" height=\"42\" \/><\/a><\/p>\n<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-4.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134342 size-full\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-4.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"117\" height=\"53\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">vektor a dan vektor b sama, artinya panjangnya sama dan arahnya sama.<\/span><\/p>\n<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-5.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134352 size-full\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-5.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"112\" height=\"53\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-6.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-134362\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-6.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"99\" height=\"48\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">vektor a dan vektor c tidak sama, walaupun panjangnya sama tetapi arahnya berbeda, dalam hal ini <\/span><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-7.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134372 size-full\" src=\"https:\/\/quipper-video-wordpress.s3.amazonaws.com\/images\/2017\/07\/vektor-7.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"121\" height=\"52\" \/><\/a><\/p>\n<h2><b>2. Perkalian Skalar dengan Vektor<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Bila k adalah sebuah skalar maka perkalian dengan vektor <\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\"> dinyatakan dengan<\/span><i><span style=\"font-weight: 400;\"> k a,<\/span><\/i><span style=\"font-weight: 400;\"> sebuah vektor yang searah dengan<\/span><i><span style=\"font-weight: 400;\"> a<\/span><\/i><span style=\"font-weight: 400;\"> dan panjangnya<\/span><i><span style=\"font-weight: 400;\"> k<\/span><\/i><span style=\"font-weight: 400;\"> kali panjang<\/span><i><span style=\"font-weight: 400;\"> a<\/span><\/i><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/a4eb6-vektor-8.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134382 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/a4eb6-vektor-8.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"476\" height=\"136\" \/><\/a><\/p>\n<h2><b>3. Sifat-sifat skalar dengan vektor<\/b><\/h2>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ab2c8-vektor-9.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134392 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ab2c8-vektor-9.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"448\" height=\"246\" \/><\/a><\/p>\n<h2><b>4. Penjumlahan dan Pengurangan Vektor<\/b><\/h2>\n<p><b>Penjumlahan<\/b><span style=\"font-weight: 400;\"> dua vektor dapat dilakukan dengan<\/span><\/p>\n<p><span style=\"font-weight: 400;\">menggunakan metode segitiga (aturan cosinus, metode jajarangenjang (aturan cosinus), metode poligon dan metode penguraian vektor.<\/span><\/p>\n<p><b>Pengurangan<\/b><span style=\"font-weight: 400;\"> vektor sama dengan penjumlahan vektor dengan salah satu vektor negatif dari vektor semula.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">untuk memudahkan dalam operasi geometri, bentuknya sebagai berikut : perhatikan arah anak panahnya<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ce215-vektor-10.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134402 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ce215-vektor-10.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"277\" height=\"454\" \/><\/a><\/p>\n<h2><b>5. Notasi Vektor<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Vektor disini dinyatakan dengan huruf yang diberi arah garis diatasnya.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Vektor dapat dinyatakan dalam dua dimensi bahkan tiga dimensi atau lebih. Jika dinyatakan dalan tiga dimensi maka vektor memiliki vektor satuan yang dinyatakan dalam i, j, dan k.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Vektor satuan adalah vektor yang besarnya satu satuan dan arahnya sesuai dengan sumbu utama, yakni :<\/span><\/p>\n<h3 class=\"entry-title\"><a href=\"https:\/\/video.quipper.com\/id\/blog\/school\/school-life\/simak-sejarah-logaritma-jost-burgi-agar-kemampuan-matematikamu-semakin-canggih\/\" target=\"_blank\" rel=\"noopener noreferrer\">Simak Sejarah Logaritma Jost Burgi, Agar Kemampuan Matematikamu Semakin Canggih!<\/a><\/h3>\n<p><b><i>i<\/i><\/b><span style=\"font-weight: 400;\"> adalah vektor satuan yang searah sumbu <\/span><b><i>x<\/i><\/b><span style=\"font-weight: 400;\"> (absis)<\/span><\/p>\n<p><b><i>j<\/i><\/b><span style=\"font-weight: 400;\"> adalah vektor satuan yang searah sumbu <\/span><b><i>y<\/i><\/b><span style=\"font-weight: 400;\"> (ordinat)<\/span><\/p>\n<p><b><i>k <\/i><\/b><span style=\"font-weight: 400;\">adalah vektor satuan yang searah sumbu <\/span><b><i>z<\/i><\/b><span style=\"font-weight: 400;\"> (aplikat)<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/9acbe-vektor-11.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134412 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/9acbe-vektor-11.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"426\" height=\"365\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">dengan <\/span><i><span style=\"font-weight: 400;\">a_x<\/span><\/i><span style=\"font-weight: 400;\"> sebagai komponen arah sumbu x, dan <\/span><i><span style=\"font-weight: 400;\">a_y<\/span><\/i><span style=\"font-weight: 400;\"> komponen arah sumbu y dan<\/span><i><span style=\"font-weight: 400;\"> a_z<\/span><\/i><span style=\"font-weight: 400;\"> adalah komponen arah sumbu z.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Bentuk tulisan vektor<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ba408-vektor-12.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134422 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/ba408-vektor-12.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"204\" height=\"65\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">dalam matematika lebih sering dituliskan dalam<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c85f5-vektor-13.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134432 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c85f5-vektor-13.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"134\" height=\"90\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">dengan komponen dalam bentuk indeks angka<\/span><\/p>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/08de0-vektor-14.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134442 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/08de0-vektor-14.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"113\" height=\"84\" \/><\/a><\/p>\n<h3><b>Panjang vektor (besar,nilai) dituliskan seperti tanda mutlak dalam aljabar<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c6684-vektor-15.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134452 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c6684-vektor-15.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"185\" height=\"58\" \/><\/a><\/p>\n<h3><b>Atau dalam indeks angka<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/f608d-vektor-16.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134462 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/f608d-vektor-16.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"218\" height=\"75\" \/><\/a><\/p>\n<h3><b>Bila vektor ditentukan oleh koordinat<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/226f9-vektor-17.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134472 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/226f9-vektor-17.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"116\" height=\"68\" \/><\/a><\/p>\n<h3><b>Maka vektor AB dinyatakan dengan<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/a1214-vektor-18.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134482 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/a1214-vektor-18.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"364\" height=\"112\" \/><\/a><\/p>\n<h3><b>Panjang vektor AB<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/665a9-vektor-19.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134492 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/665a9-vektor-19.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"394\" height=\"85\" \/><\/a><\/p>\n<h3><b>Sedangkan vektor satuan dari suatu vektor yang dinyatakan sebagai<\/b><\/h3>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c9c99-vektor-20.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134502 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/c9c99-vektor-20.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"154\" height=\"120\" \/><\/a><\/p>\n<h4><b>Dinyatakan dengan<\/b><\/h4>\n<p><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/50f19-vektor-21.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-134512 size-full\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2017\/07\/50f19-vektor-21.png\" alt=\"Kupas Tuntas Matematika Vektor SMA Kelas X Peminatan\" width=\"249\" height=\"131\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">panjang vektor satuan adalah 1 satuan.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>Untuk lebih memahami lagi tentang materinya, yuk tonton video di bawah ini!<\/p>\n<p><iframe title=\"Vektor (Definisi Vektor, Vektor Posisi, &amp; Panjang Vektor) - Matematika Kelas 10 - Quipper Video\" width=\"1170\" height=\"658\" src=\"https:\/\/www.youtube.com\/embed\/kGRP6kECWjs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p><strong>Penulis: Sritopia<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quipperian! Dalam materi kali ini, kita akan membahas tentang rumus matematika vektor, pengertian besaran vektor, pengertian besaran skalar, perkalian skalar dengan vektor, sifat-sifat skalar&hellip;<\/p>\n","protected":false},"author":156446345,"featured_media":134302,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[677999210],"tags":[],"ppma_author":[679386822],"class_list":["post-134292","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika-un-sma"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kupas Tuntas 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