{"id":173532,"date":"2018-03-26T17:42:10","date_gmt":"2018-03-26T10:42:10","guid":{"rendered":"https:\/\/video.quipper.com\/id\/blog\/?p=173532"},"modified":"2022-10-15T20:13:54","modified_gmt":"2022-10-15T13:13:54","slug":"memahami-vektor-matematika-kelas-12","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/memahami-vektor-matematika-kelas-12\/","title":{"rendered":"Pengetian Vektor &#8211; Rumus, Bidang 2 Dimensi dan Contoh Soal"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"533\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12.png\" alt=\"\" class=\"wp-image-306143\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-768x512.png 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-585x390.png?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-263x175.png?crop=1 263w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Hai Quipperian! Bagaimana pendalaman mata pelajaran Matematika kamu? Sudah lebih oke dari sebelumnya? Ada baiknya, persiapan kamu dimatangkan dengan hal-hal yang sifatnya lebih mendasar lagi, misalnya seperti pendalaman belajar rumus-rumus. Misalnya saja rumus-rumus vektor matematika IPA.<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><i><span style=\"font-weight: 400;\">Nah<\/span><\/i><span style=\"font-weight: 400;\">, kali ini Quipper Video Blog akan membahas rumus-rumus vektor Matematika IPA kelas 12. Tujuan artikel ini akan memperkaya persiapan kamu dalam menuju USBN dan UN nanti, <\/span><i><span style=\"font-weight: 400;\">lho<\/span><\/i><span style=\"font-weight: 400;\">! <\/span><i><span style=\"font-weight: 400;\">Kuy<\/span><\/i><span style=\"font-weight: 400;\">, langsung kita simak rumus-rumusnya di bawah ini!<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Pengertian dan Ruang Lingkup Vektor<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Di pelajaran Matematika, Materi Vektor SMA ada dalam kurikulum SMA, meliputi notasi vektor, panjang vektor, operasi hitung antar dua vektor, sudut antara dua vektor, dan proyeksi vektor. <\/span><i><span style=\"font-weight: 400;\">Nah<\/span><\/i><span style=\"font-weight: 400;\">, sebelum membahas lebih jauh mengenai vektor, mari kita pelajari dasar materi vektor matematika SMA terlebih dahulu. <\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Vektor merupakan salah satu jenis besaran dari dua jenis besaran yang ada dalam ilmu Matematika dan Fisika. Dua besaran tersebut adalah besaran skalar dan besaran vektor. Besaran skalar adalah jenis besaran yang hanya memiliki besar (nilai), contohnya waktu, suhu, volume, dsb. Sedangkan, besaran vektor merupakan jenis besaran yang memiliki besar (nilai) dan arah, contohnya kecepatan, momentum, gaya, dan lain-lain.<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Dasar Materi Vektor<\/b><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"790\" height=\"235\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/36f51-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-1.png\" alt=\"\" class=\"wp-image-306144\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/36f51-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-1.png 790w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/36f51-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-1-768x228.png 768w\" sizes=\"(max-width: 790px) 100vw, 790px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Untuk vektor di ruang dimensi yang lebih tinggi bentuknya akan mengikuti, seperti pada ruang dimensi 4 yang dinyatakan dalam urutan empat bilangan real. Vektor disimbolkan melalui huruf kecil yang diberi tanda anak panah di atasnya. Selain itu vektor juga dapat disimbolkan dengan huruf kecil yang dicetak tebal atau huruf kecil dengan ruas garis di atasnya.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"820\" height=\"426\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/f0fd1-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-2.png\" alt=\"\" class=\"wp-image-306146\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/f0fd1-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-2.png 820w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2022\/10\/f0fd1-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-2-768x399.png 768w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><b>Vektor pada Ruang Dimensi Dua (<em>R<\/em>\u00b2)<\/b><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Materi vektor matematika SMA yang akan dibahas pertama adalah vektor di ruang dimensi dua. Ruang dimensi dua merupakan bidang datar yang memiliki dua sumbu yaitu sumbu x dan sumbu y. Jadi, vektor yang berada pada ruang dimensi dua memiliki dua faktor penentu arah, yaitu sumbu x dan sumbu y. Cara menyatakan vektor pada ruang dimensi dua berupa susunan bilangan real, di mana urutan pertama merupakan arah untuk absis (sumbu-x) dan urutan kedua merupakan arah untuk ordinat (sumbu-y).<\/span><span style=\"font-weight: 400;\"><br><\/span><span style=\"font-weight: 400;\"><br><\/span><span style=\"font-weight: 400;\">Penulisan vektor satu satuan pada ruang dimensi dua di sumbu x positif:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/f3e8a-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-3.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" width=\"62\" height=\"43\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/f3e8a-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-3.png\" alt=\"\" class=\"wp-image-173562\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Penulisan vektor satu satuan pada ruang dimensi dua di sumbu y positif:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/15bc2-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-4.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" width=\"65\" height=\"43\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/15bc2-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-4.png\" alt=\"\" class=\"wp-image-173572\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Perhatikan gambar di bawah ini:<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/f86be-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-5.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" width=\"386\" height=\"244\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/f86be-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-5.png\" alt=\"\" class=\"wp-image-173582\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Keterangan:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/205a4-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-6.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" width=\"164\" height=\"127\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/205a4-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-6.png\" alt=\"\" class=\"wp-image-173592\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Sebuah vektor dapat ditentukan panjangnya berdasarkan keterangan pada arah vektor. Rumusnya adalah sebagai berikut.<\/span><\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/2ef1f-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-7.png\" data-rel=\"penci-gallery-image-content\" ><img loading=\"lazy\" decoding=\"async\" width=\"394\" height=\"217\" src=\"http:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/2ef1f-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12-7.png\" alt=\"\" class=\"wp-image-173602\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">Begitulah Quipperian, pembekalan rumus-rumus dalam materi Vektor Matematika cukup penting untuk menyambut persiapan USBN dan UN nanti. So, selamat belajar yang rajin!<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b>Penulis: Sritopia<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hai Quipperian! Bagaimana pendalaman mata pelajaran Matematika kamu? Sudah lebih oke dari sebelumnya? Ada baiknya, persiapan kamu dimatangkan dengan hal-hal yang sifatnya lebih mendasar&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":173622,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384865],"tags":[],"ppma_author":[679386827],"class_list":["post-173532","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Pengetian Vektor - Rumus, Bidang 2 Dimensi dan Contoh Soal<\/title>\n<meta name=\"description\" content=\"Pelajari vektor matematika mapel kelas 12, mulai dari pengertian, rumus serta contoh soal pada vektor ruang 2 dimensi\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/memahami-vektor-matematika-kelas-12\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pengetian Vektor - Rumus, Bidang 2 Dimensi dan Contoh Soal\" \/>\n<meta property=\"og:description\" content=\"Pelajari vektor matematika mapel kelas 12, mulai dari pengertian, rumus serta contoh soal pada vektor ruang 2 dimensi\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/memahami-vektor-matematika-kelas-12\/\" \/>\n<meta property=\"og:site_name\" content=\"Quipper Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/QuipperVideoID\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-03-26T10:42:10+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-10-15T13:13:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2018\/03\/aacdb-ini-dia-pembahasan-lengkap-vektor-matematika-ipa-kelas-12.png\" \/>\n\t<meta property=\"og:image:width\" content=\"800\" \/>\n\t<meta property=\"og:image:height\" content=\"533\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"sereliciouz\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:site\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"sereliciouz\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/memahami-vektor-matematika-kelas-12\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/memahami-vektor-matematika-kelas-12\\\/\"},\"author\":{\"name\":\"sereliciouz\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/b08224c7b72a87b156db30c3b032083b\"},\"headline\":\"Pengetian Vektor &#8211; 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