{"id":541,"date":"2023-07-29T13:56:37","date_gmt":"2023-07-29T13:56:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/excelde-nokta-carpimi-kolayca-nasil-hesaplanir\/"},"modified":"2023-07-29T13:56:37","modified_gmt":"2023-07-29T13:56:37","slug":"excelde-nokta-carpimi-kolayca-nasil-hesaplanir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/excelde-nokta-carpimi-kolayca-nasil-hesaplanir\/","title":{"rendered":"Excel&#39;de nokta \u00e7arp\u0131m\u0131 kolayca nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bu e\u011fitimde Excel&#8217;de nokta \u00e7arp\u0131m\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Nokta \u00e7arp\u0131m\u0131 nedir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><em>a<\/em> = [a <sub>1<\/sub> , a <sub>2<\/sub> , a <sub>3<\/sub> ] vekt\u00f6r\u00fc ve <em>b<\/em> = [b <sub>1<\/sub> , b <sub>2<\/sub> , b <sub>3<\/sub> ] vekt\u00f6r\u00fc verildi\u011finde, a vekt\u00f6r\u00fc ile b vekt\u00f6r\u00fcn\u00fcn <strong>ab<\/strong> ile g\u00f6sterilen <strong>skaler \u00e7arp\u0131m\u0131<\/strong> \u015fu \u015fekilde verilir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>ab<\/strong> = a <sub>1<\/sub> * b <sub>1<\/sub> + a <sub>2<\/sub> * b <sub>2<\/sub> + a <sub>3<\/sub> * b <sub>3<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <em>a<\/em> = [2, 5, 6] ve <em>b<\/em> = [4, 3, 2] ise <em>a<\/em> ve <em>b&#8217;nin<\/em> i\u00e7 \u00e7arp\u0131m\u0131 \u015funa e\u015fit olacakt\u0131r:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>ab =<\/strong> 2*4 + 5*3 + 6*2<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>ab =<\/strong> 8 + 15 + 12<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>ab =<\/strong> 35<\/span><\/p>\n<p> <span style=\"color: #000000;\">Temel olarak <strong>nokta \u00e7arp\u0131m<\/strong> , iki vekt\u00f6rdeki kar\u015f\u0131l\u0131k gelen giri\u015flerin \u00e7arp\u0131mlar\u0131n\u0131n toplam\u0131d\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Excel&#8217;de nokta \u00e7arp\u0131m\u0131 nas\u0131l bulunur?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Excel&#8217;de iki vekt\u00f6r\u00fcn nokta \u00e7arp\u0131m\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Verileri girin<\/strong> . Her vekt\u00f6r i\u00e7in veri de\u011ferlerini kendi s\u00fctunlar\u0131na girin. \u00d6rne\u011fin, <em>a<\/em> = [2, 5, 6] vekt\u00f6r\u00fcn\u00fcn veri de\u011ferlerini A s\u00fctununa ve <em>b<\/em> = [4, 3, 2] vekt\u00f6r\u00fcn\u00fcn veri de\u011ferlerini B s\u00fctununa girin:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Nokta \u00e7arp\u0131m\u0131 hesaplay\u0131n.<\/strong> Nokta \u00e7arp\u0131m\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan Excel <strong>SUMproduct()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>TOPLA\u00c7ARP(tablo1, [tablo2], \u2026)<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>dizi<\/strong> \u2013 \u00e7arp\u0131lacak ve sonra eklenecek ilk dizi veya aral\u0131k.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>dizi2<\/strong> \u2013 \u00e7arp\u0131l\u0131p eklenecek ikinci dizi veya aral\u0131k.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte, <em>a<\/em> vekt\u00f6r\u00fc ile <em>b<\/em> vekt\u00f6r\u00fc aras\u0131ndaki nokta \u00e7arp\u0131m\u0131 hesaplamak i\u00e7in <strong>D1<\/strong> h\u00fccresine a\u015fa\u011f\u0131dakini yazabiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>=TOPLA\u00c7ARP(A1:A3, B1:B3)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, manuel olarak ald\u0131\u011f\u0131m\u0131z cevap olan <strong>35<\/strong> de\u011ferini \u00fcretir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Herhangi bir vekt\u00f6r uzunlu\u011fundaki nokta \u00e7arp\u0131m\u0131 bulmak i\u00e7in <strong>SUMproduct()<\/strong> i\u015flevini kullanabilece\u011fimizi unutmay\u0131n. \u00d6rne\u011fin, <em>a<\/em> ve <em>b<\/em> vekt\u00f6rlerinin her ikisinin de uzunlu\u011funun 20 oldu\u011funu varsayal\u0131m. Daha sonra bunlar\u0131n i\u00e7 \u00e7arp\u0131m\u0131n\u0131 hesaplamak i\u00e7in <strong>D1<\/strong> h\u00fccresine a\u015fa\u011f\u0131daki form\u00fcl\u00fc girebiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>=TOPLA\u00c7ARP(A1:A20; B1:B20)<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Nokta \u00e7arp\u0131m\u0131n hesaplanmas\u0131nda olas\u0131 hatalar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>SUMproduct()<\/strong> i\u015flevi <strong>#DE\u011eER!<\/strong><\/span> <span style=\"color: #000000;\">Vekt\u00f6rler ayn\u0131 uzunlu\u011fa sahip de\u011filse<\/span> <span style=\"color: #000000;\">hata olu\u015fur<\/span> .<\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <em>a<\/em> vekt\u00f6r\u00fcn\u00fcn uzunlu\u011fu 20 ve <em>b<\/em> vekt\u00f6r\u00fcn\u00fcn uzunlu\u011fu 19 ise, <strong>=TOPLA\u00c7ARP(A1:A20, B1:B19)<\/strong> form\u00fcl\u00fc bir hata d\u00f6nd\u00fcrecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nokta \u00e7arp\u0131m\u0131n hesaplanabilmesi i\u00e7in her iki vekt\u00f6r\u00fcn de ayn\u0131 uzunlu\u011fa sahip olmas\u0131 gerekir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda bir nokta \u00e7arp\u0131m\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/nokta-urun-google-e-tablolari\/\" target=\"_blank\" rel=\"noopener\">Google E-Tablolarda Nokta \u00c7arp\u0131m\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-nokta-carpim\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de nokta \u00e7arp\u0131m nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nokta-carpim-ti-84\/\">TI-84 Hesap Makinesinde Nokta \u00c7arp\u0131m\u0131 Nas\u0131l Hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu e\u011fitimde Excel&#8217;de nokta \u00e7arp\u0131m\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Nokta \u00e7arp\u0131m\u0131 nedir? a = [a 1 , a 2 , a 3 ] vekt\u00f6r\u00fc ve b = [b 1 , b 2 , b 3 ] vekt\u00f6r\u00fc verildi\u011finde, a vekt\u00f6r\u00fc ile b vekt\u00f6r\u00fcn\u00fcn ab ile g\u00f6sterilen skaler \u00e7arp\u0131m\u0131 \u015fu \u015fekilde verilir: ab = a 1 * [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-541","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Excel&#039;de Nokta \u00c7arp\u0131m\u0131 Kolayca Nas\u0131l Hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Excel&#039;de nokta \u00e7arp\u0131m\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 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