Posted by : Nezu-chan
Kamis, 12 September 2013
BAB I
PENDAHULUAN
Bicara tentang fungsi vektor, ada baiknya jika kita tahu terlebih dahulu apa itu vektor. Dalam fisika kita mengenal vektor sebagai sebuah besaran yang memiliki nilai dan arah. Sedangkan dalam matematika, vektor adalah anggota dari ruang vektor. Secara geometris, vektor dapat disajikan dengan ruas garis berarah. Panjang ruas garis menyatakan besar vektor dan anak panah menyatakan arah vektor.
Pada dasarnya, setiap bagian dari matematika memiliki fungsi masing-masing. Baik fungsi matematisnya, penerapannya dalam kehidupan maupun kaitannya dengan ilmu agama. Tidak terkecuali dengan vektor. Secara matematis, kita kadang-kadang menyatakan bahwa sebuah fungsi vektor A (x,y,z) mendefinisikan suatu medan vektor karena mengaitkan suatu vektor dengan setiap titik di suatu daerah. Sementara dari segi kehidupan manusianya, vektor berfungsi misalnya dalam hal teknologi GPS. Sedangkan dari segi agamis, vektor dapat memperlihatkan betapa mulianya Allah SWT. yang telah menciptakan alam semesta beserta manusia dengan sempurnanya.
oleh karena itu kami akan membahas sedikit tentang aplikasi vektor dalam kehidupan sehari-hari.
I.2 Rumusan Masalah
Melalui latar belakang di atas, maka adapun yang menjadi rumusan masalah dalam karya ilmiah ini adalah:
- Apa yang dimaksud dengan vektor itu?
- Apa saja Fungsi vektor?
- Apa saja contoh penerapan vektor dalam kehidupan sehari-hari?
I.3 Tujuan dan Manfaat Penulisan
Berdasarkan rumusan masalah diatas, tujuan dari penulisan karya ilmiah ini adalah:
- Mengetahui apa yang dimaksud dengan vektor.
- Mengetahui Fungsi Vektor.
- Mengetahui Contoh vektor dalam kehidupan sehari-hari.
I.4 Sistematika Penulisan
Karya ilmiah ini terdiri atas 3 Bab. Bab pertama yaitu pendahuluan, berisi latar belakang, rumusan masalah, tujuan penulisan, manfaat penuisan dan sistematika penulisan. Bab kedua berisi pembahasan, dimana pada bab ini, kami menjelaskan apa-apa saja terkait dalam rumusan masalah yang telah dirancang sebelumnya. Dan pada bab terakhir, kami menjelaskan perihal kesimpulan dari seluruh pembahasan disertai dengan saran. Sebagai pertanggung jawaban, kami juga menyertakan Daftar pustaka pada bagian akhir karya ilmiah ini.
BAB II
PEMBAHASAN
Vektor adalah besaran yang mempunyai nilai dan arah. Contoh sebuah kapal bergerak dengan kecepatan sebesar 20 knot pada arah 30 derajat dari suatu pelabuhan. Dari pernyataan di atas dapat dipahami bahwa kapal tersebut bergerak dengan kecepatan 20 knot yang merupakan besaran, selain itu dijelaskan juga arah yang ditempuh, yaitu 30 derajat dari pelabuhan.
Penggambaran vektor:
Untuk menyatakan suatu vektor dapat dilakukan pada bidang datar atau bidang koordinat Cartesius XOY dengan menggambar ruas garis dengan anak panah di salah satu ujungnya. Panjang ruas garis mewakili besar (panjang) vektor dan anak panah mewakili arah vektor. Vektor disimbolkan dengan huruf tebal atau dengan huruf yang digaris bawahi.
Macam-macam vektor:
- Vektor Satuan : Vektor yang memiliki arah, meskipun hanya bernilai satu.
- Vektor Nol : Vektor yang titik awal dan akhirnya sama.
- Vektor Negatif : Negatif sebagai penunjuk arahnya.
- Vektor Posisi : Vektor yang menempati posisi pada bidang kartesius.
- Vektor Ortogonal: Vektor basis pada dimensi tiga.
- Vektor Basis : Vektor yang menempati suatu kartesius.
- Vektor Resultan : Vektor yang menjadi hasil dari semua vektor.
II.2 Fungsi Vektor Secara garis besar
Dalam dunia manusia ini, memang tidak serta merta kita dapat mlihat fungsi dari vektor tersebut. Namun, fungsi itu ada dan itulah sebabnya mata pelajaran/mata kuliah ini tetap dipelajari. Fungsi-fungsi tersebut antara lain yaitu:
1. Sarana transportasi darat, laut, maupun udara masing-masing memiliki peluang yang sama untuk terjadinya kecelakaan. Apabila kecelakaan teradi di tengah lautan lepas tentunya kapal yang mengalami kerusakan hars dibawa ke pelabuhan terdekat untuk segera diperbaiki. Untuk menarik kapal tersebut dibutuhkan dua buah kapal dengan dilengkapi kawat baja. Agar kapal dapat sampai ke pelabuhan yan dituju dan posisi kapal selama perjalanan tetap stabil besar gaya yang dibutuhkan oleh masing-masing kapal penarik dan sudut yang di bentuk oleh kawat baja harus diperhitungkan dengan cermat.
2. Dalam Navigasi, vektor berpengaruh besar terhadap keberadaan suatu lokasi ditinjau dari tempat yang bergerak (kendaraan atau lainnya). Teknologi ini disebut Global Positioning System atau GPS. Dimana sistem ini memberitahukan lokasi di permukaan bumi walaupun tempatnya bergerak. Sehingga, suatu kendaraan dapat tahu keberadaannya dan dimana lokasi tujuannya. Karena itu vektor sangat berperan penting dalam Navigasi contohnya vector yang digunakan untuk Sistem Navigasi Pesawat Terbang. Semua pesawat terbang dilengkapi dengan sistem navigasi agar pesawat tidak tersesat dalam melakukan penerbangan. Panel-panel instrument navigasi pada kokpit pesawat memberikan berbagai informasi untuk sistem navigasi mulai dari informasi tentang arah dan ketinggian pesawat. Pengecekan terhadap instrument sistem navigasi harus seteliti dan seketat mungkin. Sebagai contoh kejadian yang menimpa pesawat Adam Air pada bulan pebruari 2006 sewaktu menjalani penerbangan dari bandara Soekarno Hatta menuju bandara Hasanudin di Makasar. Ketidaktelitian pihak otoritas penerbangan yang mengijinkan pesawat Adam Air terbang dengan sistem navigasi yang tidak berfungsi menyebabkan Pesawat Adam Air berputar-putar di udara tanpa tahu arah selama tiga jam, sebelum mendarat darurat di bandara El Tari Nusa Tenggara Timur. Kesalahan akibat tidak berfungsinya system navigasi adalah kesalahan yang fatal dalam dunia penerbangan. Sanksi yang diberikan adalah dicabutnya ijin operasi bagi maskapai penerbangan yang melanggar. Vektor menyatakan arah dan besar suatu besaran. Jurusan tiga angka, Analisi ruang, Navigasi penerbangan dan pelayaran selalu menggunakan vektor untuk keperluan itu. Peralatan navigasi membutuhkan perhitungan vektoris yang sudah dikalibrasikan dengan alat ukur sehingga menghasilkan keluaran manual atau digital. Keluaran itu dapat dibaca pada pada alat ukur yang menera besar dan arah secara bersamaan, sehingga bermanfaat bagi orang yang memantaunya.
Pernahkah Kamu naik pesawat terbang? Antara penumpang dan pilot dan copilot di ruang kemudi dipisah dengan sekat. Tujuannya agar pilot dapat berkonsentrasi mengemudikan pesawat. Pernahkah Kamu bayangkan pesawat terbang di malam hari? Bagaimana pilot mengemudikan pesawat terbang di malam hari. Dengan sistem vektor yang dikalibrasikan dengan komputer navigasi pesawat pilot dapat memantau arah tujuan pendaratan pesawat. Jadi tidak pernah sebuah pesawat nyasar ke lain tempat.
II.3 Contoh-contoh Vektor dalam kehidupan sehari-hari
Berikut ini adalah beberapa contoh vektor dalam kehidupan sehari-hari yang mungkin tidak asing lagi bagi kita semua.
- Ketika Upacara bendera dihari senin, pasukan paskibra mengibarkan bendera dari bawah ke atas. Aplikasi vektor bendera seperti sudut 90 derajat.
- Ketika seorang melakukan olahraga tersebut, mereka akan terjun dengan kemiringan tertentu hingga menginjak tanah.
- Ketika penerjun menjatuhkan diri dari kapal, tempat ia jatuh tidak tepat di bawah kapal, tetapi jauh melenceng karena adanya dua vektor gaya yaitu gaya gravitasi dan gaya dorong angin.
- Dalam sains komputer vektor digunakan untuk pembuatan gravis. Grafis adalah gambar yang tersusun dari koordinat-koordinat. Dengan demikian sumber gambar yang muncul pada layar monitor komputer terdiri atas titik-titik yang mempunyai nilai koordinat. Layar Monitor berfungsi sebgai sumbu koordinat x dan y. Grafis vektor adalah objek gambar yang dibentuk melalui kombinasi titik-titik dan garis dengan menggunakan rumusan matematika tertentu. Contoh software yang menggunakan vektor adalah CorelDRAW dan Adobe Illustrator. Dalam software komputer seperti AutoCAD, Google SketchUp dll, terdapat penghitungan vektor yang terkomputerisasi. Program tersebut berfungsi sebagai penggambar rancangan bangunan 3D sebelum membangun bangunan sebenarnya. Dalam progeam tersebut terdapat tiga sumbu, sumbu X, sumbu Y dan sumbu Tegak (3 dimensional).
- Kapal selam: kapal. Selam ini di beri rongga udara yang berfungsi sebai tempat masuk dan kluarnya air atau udara. Ketika rongga tersebut berisi udara ,volume air di yang pindahkan sama dengan berat kaPal sehingga kapal selam bisa mengapung.dan jika tutup udara Pada rongga di buka kembali maka volume air pada rongga akan bertambah sehingga kapal selam tenggelam.
BAB III
PENUTUP
Vektor adalah besaran yang mempunyai nilai dan arah. Untuk menyatakan suatu vektor dapat dilakukan pada bidang datar atau bidang koordinat Cartesius XOY dengan menggambar ruas garis dengan anak panah di salah satu ujungnya. Panjang ruas garis mewakili besar (panjang) vektor dan anak panah mewakili arah vektor. Vektor disimbolkan dengan huruf tebal atau dengan huruf yang digaris bawahi.
Kehidupan ini bukan hanya sekedar makan dan minum saja, kita sebagai manusia dituntut untuk mempelajari apa yang telah tuhan berikan kepada kita sebagai manusia makhluk yang paling sempurna, sehingga kita dapat mengetahui kebesaranya.
III.2 Saran
Pembahasan tentang fungsi vektor ini bukan pembahasan singkat yang akan selesai dalam sekali duduk. Masih ada banyak lagi yang belum dibicarakan disini. Untuk itu, diharapkan kita mau mencari sumber-sumber lain diluar sana untuk menambah pengetahuan kita tentang Fungsi vektor dalam segala aspeknya yang belum terjelaskan dalam karya ilmiah ini.
Daftar Pustaka
1. R.Spiegel,Murray.1991.AnalisisVektor.Jakarta: Erlangga
2.http://metricmatik.blogspot.com/2011/04/makalah-kegunaan-kalkulus-vektor.html (24-06-2013/02:53)
3. http://simplemomentum.blogspot.com/2012/05/penerapan-vektor-dalam-kehidupan-sehari.html (24-06-2013/01:34)
Bagus sekali blog saudara, nilai 90. Akan mendapat 100. Jika karya tulis ada sedikit sketza gambar atau foto lukiskan aplikasi vektor dlm kehidupan sehari-hari
BalasHapusterima kasih bapak :)
BalasHapusKomentar ini telah dihapus oleh pengarang.
BalasHapusmakasih :)good job guys (y)
BalasHapusmakasihbuat contoh vektor dalam kehidupan sehari-harinya ^-^.semoga sukses selalu..
BalasHapuswow bagus sekali laporannya... sangat membantu....
BalasHapusmakasih sudah berbagi ilmu
BalasHapusTrims
BalasHapusThanks for sharing this very good write-up. Very interesting idea.
BalasHapusAbinitio Training From India
The knowledge of technology you have been sharing thorough this post is very much helpful to develop new idea.
BalasHapushere by i also want to share this.
Oracle Apps Functional Online Training
QuickBooks Payroll Support Phone Number has emerged the best accounting software that has had changed the meaning of payroll. Quickbooks Payroll Support contact number is the team that offer you Quickbooks Payroll Support
BalasHapusSometimes you may not forecast the precise budget. We've got experienced people to give you the figure. We are going to also provide you with the figure within your budget which you are able to be in the future from now. This is only possible with QuickBooks Tech Support Number.
BalasHapusIf you'd like the help or perhaps the information regarding it, our company has arrived now to do business with you with complete guidance together with the demo. Connect to us anytime anywhere. Only just contact us at Quickbooks Payroll Support Phone Number .
BalasHapusQuickBooks Enterprise provides end-to end business accounting experience. With feature packed tools and features, this application QuickBooks Enterprise Support Phone Number
BalasHapusThis becomes one of many primary good reasons for poor cashflow management in lot of businesses. It should be the full time for QuickBooks support help. The traders can’t make money. But, we've QuickBooks Support Phone Number
BalasHapusWhat’re basic reasons for corruption of QuickBooks Support Phone Number Company Data file? Before attempting to improve it, the second logical step you ought to perform will be to investigate the complexities behind such corruption.
BalasHapusEven although you make a search on the Google Quickbooks Support Phone Number you will likely confused when a so many number comes up in the search results ,because Intuit is dealing with so many items that why each product and each region they obtaining the different Tech Support official .
BalasHapusThem QuickBooks Enterprise Tech support Number would be best in their respective work area nevertheless when there is a small glitch or error comes that would be a logical error or a technical glitch, can result producing or processing wrong information to the management or may crank up losing company’s precious data.
BalasHapusThere could be occasions once you might face some kind of delay in reaching us, let’s say at that time of filing taxes since there is a lot of hush-hush then. We assure you that people will revert to your account in a shorter time and work out us accessible to you at Support for QuickBooks 2019 .
BalasHapusSimply get in touch with us at our website . and now we will pro-actively resolve every one of the errors and issues faced by you in your kind of QuickBooks Customer Support Number Premier.
BalasHapusAny QuickBooks user faces any type of identified errors in their daily accounting routine; these errors can vary from 1 another to a large degree, so our dedicated QuickBooks Customer Support Number Service Pro-Advisors are very well built with their tools and expertise to present most effective resolutions right away to the customers.
BalasHapusYour tech support team team is just a single tap away, dial our QuickBooks Tech Support Number and experience our best hassle-free technical support.
BalasHapusWe plan to give you the immediate support by our well- masterly technicians. A group of QuickBooks tech Support dedicated professionals is invariably accessible to suit your needs so as to arranged all of your problems in an attempt that you’ll be able to QuickBooks Technical Support Number while not hampering the productivity.
BalasHapusIntuit QuickBooks Payroll services are accessed by many people people people internet marketers, accountants, CA, CPAs to calculate taxes and pay employees. Unfortunately, kinds of issues and errors arise for which they must contact the Quickbooks Support Phone Number.
BalasHapusQuickBooks Enterprise Support telephone number assists you to definitely overcome all bugs through the enterprise types of the applying form. Enterprise support team members remain available 24×7 your can buy facility of best services. We suggest anyone to join our services just giving ring at toll-free QuickBooks Enterprise Support to enable you to fix registration, installation, import expert and plenty of other related issues to the enterprise version.
BalasHapusWith exceptional features, QuickBooks Enterprise Support Phone Number helps most of the kinds of businesses with generating accounting reports, entries for every single sale, transactions pertaining to banking, etc., with a lot of ease.
BalasHapusQuickBooks Enterprise Support channel available on a call at .You can quickly avail our other beneficial technical support services easily once we are merely a single call QucikBooks Enterprise Support Phone Number
BalasHapusThe QuickBooks Payroll has many awesome features that are good enough when it comes to small and middle sized business. QuickBooks Payroll also offers a dedicated accounting package which include specialized features for accountants also. You can certainly all from the QuickBooks Payroll Technical Support Number to find out more details. Let’s see many of the options that come with QuickBooks that features made the QuickBooks payroll service exremely popular.
BalasHapusIntuit QuickBooks Support Number accords assist with the QuickBooks users’ worldwide. The support team may be reached through various modes such as for example: phone support, email support, live chat, FAQ, QuickBooks community etc. Solving the Quickbooks related problems and issue Remotely . QuickBooks in current time is Number no. 1 accounting software popular in the united states , Canada , Europe and Australian marketplace for business management. It handles and manages business , payroll , banking even your all transaction as well . Reflects on the efficiency graph of business. Its not only simple but also may be manage easily , accounting software that will help to manage finances smartly. The QuickBooks technical service number is active at any hour for assistance.
BalasHapusIf you run into any difficulty regarding QuickBooks Payroll service and you are clearly happy to find a very good way to avoid it, the essential ideal solution should be to contact the QuickBooks Payroll Tech Support Number, they offer you with expert opinion in the malfunction that you will be facing and would also guide you through the complete procedure for obtaining the issue resolved.
BalasHapusRegardless of whether you're getting performance errors or perhaps you may be facing almost any trouble to upgrade your software to its latest version, you are able to quickly get advice about QuickBooks Support Phone Number.
BalasHapusHow to contact QuickBooks Payroll support?
BalasHapusDifferent styles of queries or QuickBooks related issue, then you're way in the right direction. You simply give single ring at our toll-free intuit Phone Number for QuickBooks Payroll Supportt . we are going to help you right solution according to your issue. We work on the internet and can get rid of the technical problems via remote access not only is it soon seeing that problem occurs we shall fix the same.
Its top quality and best services such as export data from QuickBooks online to excel and many more, make it amazing and unique among all other software. QuickBooks Tech Support Number is best for offering their services delivered on time whether it is day or night. The team of genius are highly experienced and certified in solving any technical and nontechnical issues. The QuickBooks customer care executives will be available 24/7 only for their users.
BalasHapusTherefore we have designed a especially dedicated team of certified professionals at QuickBooks Support contact number that are in a position to understanding your issues and errors in minimum time along with one of the most convenient way. Dial our QuickBooks Tech Support Number and avail the most notable solution you will need.
BalasHapusWe offer solutions which can be simple to implement. They keep your time by getting executed in easy steps. Our technical support team is prepared beforehand with all the answers for the majority of common errors in QuickBooks Support Number
BalasHapusAlso, you will need to fix the HP Printer paper jam and spooler error by firmly taking the professional assistance associated with the experts at the HP Printer Support Number.
BalasHapusThe HP Inkjet Printer Support Number user may also unplug the USB cable to prevent the problem. And, eventually, it will probably repair the problem of HP laptop won’t switch on even if plugged in.
BalasHapusIntuit QuickBooks Payroll Support Number will not accept direct deposit fees, however, $2.00 monthly fees are imposed if you have one client. Clients might have own logins to process own payment once they intend to customize Intuit online payroll.
BalasHapusQuickBooks Premier is very simple to utilize but errors may usually pop up at the time of installation, at the time of taking backup, while upgrading your software to your latest version etc. The support team at QuickBooks Technical Support Phone Number is trained by well experienced experts that are making our customer service executives quite robust and resilient. It really works twenty-four hours every single day with just one part of mind for instance. to fix the issues faced by our customers in less time without compromising aided by the quality of services.
BalasHapusOur QuickBooks Support USA team is enthusiastic and makes best usage of its experience. They just do not let go any issue even if it is fairly complex.
BalasHapuswhenever you feel something went wrong together with your accounting software and cannot find a way out, you can get tech support team from our experts’ team, day time and night to resolve any issues related to QuickBooks Support Number.
BalasHapusQuickBooks Payroll Support Phone Number as well provides all possible help with the users to utilize it optimally. An individual who keeps connection with experts is able to realize about the latest updates.
BalasHapusQuickBooks Payroll Customer Service Number helps you to definitely resolve your entire technical and functional issues while looking after this well known extensive, premium and end-to-end business accounting and payroll management software. Our experts team at QuickBooks Payroll Technical Support. is going to make you realize its advanced functions and assists anyone to lift up your business growth.
BalasHapusThe support team at QuickBooks Tech Support Phone Number is trained by well experienced experts that are making our customer support executives quite robust and resilient. It truly works twenty-four hours each day with just one element of mind for instance.
BalasHapusQuickBooks Tech Support a wide range of users daily, quite possible you certainly will hand up or need certainly to wait for long time to connect utilizing the Help Desk team .
BalasHapusQuickBooks Tech Support Phone Number kind of bookkeeper services accepts the accountability for their activities. But, you won’t find any flaws in their services! Good and reliable bookkeeper builds quality relationship with his customers. Friendly relationships will enable business owners to ask the professional for possible ways to develop their businesses.
BalasHapusQuickBooks Enterprise Tech Support Phone Number is a panacea for many forms of QuickBooks Enterprise tech issues. Moreover, nowadays businesses are investing a great deal of their money in accounting software such as for example QuickBooks Enterprise Support telephone number, as today everything is becoming digital. So, utilizing the advent of QuickBooks Enterprise Support package, today, all accounting activities can be performed in just a press of a button. Although, accounting software applications are advantageous to deal with complicated and vast accounting activities.
BalasHapusWow! What an amazing Post. Thank you for delivering such a good source of information. It has helped me a lot in completing my task. You can also complete your accounting and fiscal task with fewer mistakes by downloading QuickBooks software. For more information, you can call us at QuickBooks Support Phone Number 1-844-235-3996. Your call will be received by the experts and will deliver you the best possible solution in a span of moments.visit us:-https://tinyurl.com/y5vx3u4g
BalasHapusFinancial reporting and accounting are the backbones of a business. They are responsible for handling and maintaining records of the complete financial data and transactions. A small mistake in any one of them can lead to severe damage. Thus, to avoid such inconvenience, QuickBooks is considered as an efficient tool. To get support for the errors, reach us via QuickBooks Support Phone Number +1 800-329-0391. Visit us- https://www.coldesk.com/quickbooks-support-phone-number/
BalasHapusAre you looking for an efficient solution for your QuickBooks Enterprise errors? If yes, then we are here to help you. Contact us via QuickBooks Enterprise Support Phone Number +1 800-329-0391 and get reliable solutions for your issues. We have a dedicated team that is available for you 24X7 with quick support. Visit us- https://www.coldesk.com/quickbooks-enterprise-support/
BalasHapusQuickBooks Online Banking users must have an integration with the banking account. This integration can be carried out either by Direct Connect or Web Connect feature. There are several other benefits associated with the online version. As is with other great utilities, QuickBooks Online is also susceptible to errors. QuickBooks Error 9999 is just one such error. Let’s take a look at what this error is.
BalasHapusRuntime errors are generally caused by incompatible programs running at the same time. It may also occur because of memory problem, a bad graphics driver or virus infection. Whatever the case may be, the problem must be resolved immediately to avoid further problems. Here are ways to remedy the error. If you would like to learn how to Fix Quickbooks Error 9999 yourself, you can continue reading this blog.
BalasHapusQuickbooks is software use for bookkeeping or accounting work if you face problem Quickbooks error 15106. You can resolve quickbooks diagnostic tool.
BalasHapusQuickbooks won't open error can be repaired easily with just few simple steps. You can follow this link.
BalasHapusI like your post. I appreciate your blogs because they are really good. Please go to this website for Playing Online betting
BalasHapus