{"id":436,"date":"2023-06-18T04:55:14","date_gmt":"2023-06-18T04:55:14","guid":{"rendered":"https:\/\/physigeek.com\/tr\/vektor-kaydirma\/"},"modified":"2023-06-18T04:55:14","modified_gmt":"2023-06-18T04:55:14","slug":"vektor-kaydirma","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/vektor-kaydirma\/","title":{"rendered":"Vekt\u00f6r kayd\u0131rma"},"content":{"rendered":"<p>Bu makale fizikte yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak kavram\u0131 do\u011fru bir \u015fekilde \u00f6z\u00fcmsemek i\u00e7in \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-vector-desplazamiento\"><\/span> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc,<\/strong> ba\u015flang\u0131\u00e7 konumundan son konuma giden vekt\u00f6r olarak tan\u0131mlan\u0131r; yani yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, bir cismin konumunun de\u011fi\u015fimini temsil eden vekt\u00f6rd\u00fcr. Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, son konum vekt\u00f6r\u00fcnden ba\u015flang\u0131\u00e7 konum vekt\u00f6r\u00fcn\u00fcn \u00e7\u0131kar\u0131lmas\u0131yla hesaplan\u0131r.<\/p>\n<p> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn uygulama noktas\u0131 cismin ba\u015flang\u0131\u00e7 konumunu tan\u0131mlayan noktad\u0131r, yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn sonu ise cismin son konumunu g\u00f6steren noktad\u0131r. Dolay\u0131s\u0131yla fizikte yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, bir cismin ba\u015flang\u0131\u00e7 konumu ile son konumu aras\u0131ndaki fark\u0131 i\u015faret eden vekt\u00f6rd\u00fcr.<\/p>\n<p> Yer de\u011fi\u015ftirme vekt\u00f6r sembol\u00fc<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> . <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-et-de-deplacement.png\" alt=\"vekt\u00f6r yer de\u011fi\u015ftirmesi\" class=\"wp-image-7663\" width=\"371\" height=\"300\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-et-de-deplacement-300x243.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-et-de-deplacement.png 650w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Yer de\u011fi\u015ftirmenin y\u00f6r\u00fcngeden farkl\u0131 oldu\u011funu unutmay\u0131n. Y\u00f6r\u00fcnge, hareketli g\u00f6vdenin kat etti\u011fi yolun tamam\u0131d\u0131r; yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ise yaln\u0131zca ba\u015flang\u0131\u00e7 konumu ile son konum aras\u0131ndaki de\u011fi\u015fimi g\u00f6sterir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-vector-desplazamiento\"><\/span> Yer de\u011fi\u015ftirme vekt\u00f6r form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, son konum vekt\u00f6r\u00fc ( <sub>rf<\/sub> ) ile ba\u015flang\u0131\u00e7 konum vekt\u00f6r\u00fc (r <sub>,<\/sub> ) aras\u0131ndaki farka e\u015fittir. Bu nedenle yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, son konum vekt\u00f6r\u00fcnden ba\u015flang\u0131\u00e7 konum vekt\u00f6r\u00fcn\u00fcn (\u0394r = r <sub>f<\/sub> -r <sub>i<\/sub> ) \u00e7\u0131kar\u0131lmas\u0131yla hesaplan\u0131r.<\/p>\n<p> Bu nedenle <strong>yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fc hesaplama form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6a2add39f8b17932976b2dac8782b1e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\\vv{r}=\\vv{r_f}-\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \u0130ki koordinatl\u0131 bir sistemde \u00e7al\u0131\u015f\u0131yorsak her konum vekt\u00f6r\u00fcn\u00fcn iki bile\u015feni oldu\u011funu unutmay\u0131n. Bu nedenle, iki vekt\u00f6r\u00fcn \u00e7\u0131kar\u0131lmas\u0131n\u0131 hesaplamak i\u00e7in koordinatlar\u0131n\u0131 \u00e7\u0131karmal\u0131y\u0131z:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9de158fd25fcb5e34f8c8a8b2ea945ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\vv{r}&amp;=\\vv{r_f}-\\vv{r_i}\\\\[3ex]\\Delta\\vv{r}&amp;=\\left(x_f\\vv{i }+y_f\\vv{j}\\right)-\\left(x_i\\vv{i}+y_i\\vv{j}\\right)\\\\[3ex]\\Delta\\vv{r}&amp;=(x_f-x_i) \\vv{i}+(y_f-y_i)\\vv{j}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"234\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> yer de\u011fi\u015ftirme vekt\u00f6r\u00fcd\u00fcr. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e1b02810b572e656acf95dc5bb7f0c9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> son andaki konum vekt\u00f6r\u00fcd\u00fcr. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7eae0c03c02ab63fa29f02150a8bedf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u015flang\u0131\u00e7 an\u0131ndaki konum vekt\u00f6r\u00fcd\u00fcr. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0d89a653d05691dbd9879857c51d283e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_f, y_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"44\" style=\"vertical-align: -6px;\"><\/p>\n<p> s\u0131ras\u0131yla son konumun X, Y koordinatlar\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ca29b189039d3158599e42d540a4ff86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i, y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"38\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u0131ras\u0131yla ba\u015flang\u0131\u00e7 konumunun X, Y koordinatlar\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-38c9c3651baee200e255572b4c746a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{i},\\vv{j}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u0131ras\u0131yla OX ve OY eksenlerinin y\u00f6nlerini temsil eden birim vekt\u00f6rlerdir.<\/span><\/li>\n<\/ul>\n<p> <strong>Not:<\/strong> Uzayda \u00e7al\u0131\u015f\u0131yorsak vekt\u00f6rlerin \u00fc\u00e7 koordinat\u0131 olacakt\u0131r. Bu durumda vekt\u00f6rlerin Z koordinat\u0131n\u0131n form\u00fcle eklenmesi ve \u00fc\u00e7 koordinatla \u00e7al\u0131\u015fmas\u0131 gerekir.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Modulo-del-vector-desplazamiento\"><\/span> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn mod\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn b\u00fcy\u00fckl\u00fc\u011f\u00fc,<\/strong> son konum ile ba\u015flang\u0131\u00e7 konumu aras\u0131ndaki mesafedir. Bu nedenle iki nokta aras\u0131ndaki mesafeyi belirlemek i\u00e7in bu iki nokta aras\u0131ndaki yer de\u011fi\u015ftirme mod\u00fcl\u00fcn\u00fcn hesaplanmas\u0131 gerekir.<\/p>\n<p> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn normu, bile\u015fenlerinin karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcne e\u015fittir. Dolay\u0131s\u0131yla <strong>yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn mod\u00fcl\u00fcn\u00fc hesaplama form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-93d32dbcb616220d740d06d08ccf47ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\Delta \\vv{r}|=\\sqrt{(x_f-x_i)^2+(y_f-y_i)^2\\vphantom{\\bigl)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"247\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e90c82c4757170808470067b919325da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\Delta \\vv{r}|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"29\" style=\"vertical-align: -5px;\"><\/p>\n<p> yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn normudur. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0d89a653d05691dbd9879857c51d283e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_f, y_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"44\" style=\"vertical-align: -6px;\"><\/p>\n<p> s\u0131ras\u0131yla son konumun X, Y koordinatlar\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ca29b189039d3158599e42d540a4ff86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i, y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"38\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u0131ras\u0131yla ba\u015flang\u0131\u00e7 konumunun X, Y koordinatlar\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> \u0130ki nokta aras\u0131ndaki yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn b\u00fcy\u00fckl\u00fc\u011f\u00fc olan iki nokta aras\u0131ndaki mesafenin, kat edilen mesafe ile ayn\u0131 olmad\u0131\u011f\u0131n\u0131 unutmay\u0131n; \u00e7\u00fcnk\u00fc kat edilen mesafe, iki nokta aras\u0131ndaki ger\u00e7ek mesafeden daha b\u00fcy\u00fck olabilir. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/mesafe-ve-ofset\/\">Yer de\u011fi\u015ftirme ile kat edilen mesafe aras\u0131ndaki fark nedir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-del-vector-desplazamiento\"><\/span> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fc hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu g\u00f6rd\u00fckten sonra, bu b\u00f6l\u00fcmde ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir \u00f6rnekle yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> Bir par\u00e7ac\u0131k bu konumdad\u0131r\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-281bd088d419c8ace9624f2ac70173ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_i}=3\\vv{i}-2\\vv{j}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<p> ilk anda ve bir zaman aral\u0131\u011f\u0131ndan sonra <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physigeek.com\/tr\/wp-content\/ql-cache\/quicklatex.com-7e4e6c2ebe0a7401013ac434c3437d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#118;&#118;&#123;&#114;&#95;&#102;&#125;&#61;&#53;&#92;&#118;&#118;&#123;&#105;&#125;&#43;&#49;&#92;&#118;&#118;&#123;&#106;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -6px;\"\/> konumundad\u0131r. Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ve bu iki konum aras\u0131ndaki mesafe nedir?<\/li>\n<\/ul>\n<p> Son konum ile ba\u015flang\u0131\u00e7 konumu aras\u0131ndaki yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fc belirlemek i\u00e7in iki konum vekt\u00f6r\u00fcn\u00fc \u00e7\u0131karman\u0131z yeterlidir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3444222027ce5b4d04745c6beaa286f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\vv{r}&amp;=\\vv{r_f}-\\vv{r_i}\\\\[3ex]\\Delta\\vv{r}&amp;=\\left(5\\vv{i }+1\\vv{j}\\right)-\\left(3\\vv{i}-2\\vv{j}\\right)\\\\[3ex]\\Delta\\vv{r}&amp;=\\bigl(5- 3\\bigr)\\vv{i}+\\bigl(1-(-2)\\bigr)\\vv{j}\\\\[3ex]\\Delta\\vv{r}&amp;=2\\vv{i}+3\\ vv{j}\\end{align\u00e9}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Daha sonra bu iki nokta aras\u0131ndaki mesafeyi bulmak i\u00e7in hesaplanan yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn normunu almam\u0131z gerekir: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e1bf43dbb25c4179e4c8a79fddb56285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}|\\Delta \\vv{r}|&amp;=\\sqrt{2^2+3^2}}\\\\[3ex]|\\Delta \\vv{r}|&amp;=\\sqrt{ 4+9}\\\\[3ex]|\\Delta \\vv{r}|&amp;=\\sqrt{13}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"127\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Vector-desplazamiento-y-vector-de-posicion\"><\/span> Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ve konum vekt\u00f6r\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ile konum vekt\u00f6r\u00fc aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz, ayn\u0131 \u015fekilde bu iki vekt\u00f6r t\u00fcr\u00fc aras\u0131ndaki ili\u015fkinin ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>Konum<\/strong> <strong>vekt\u00f6r\u00fc olarak da adland\u0131r\u0131lan konum vekt\u00f6r\u00fc<\/strong> , bir noktan\u0131n bir referans sistemine g\u00f6re konumunu tan\u0131mlayan bir vekt\u00f6rd\u00fcr. Dolay\u0131s\u0131yla fizikte konum vekt\u00f6r\u00fc, bir noktan\u0131n koordinat sistemindeki konumunu belirtmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Sonu\u00e7 olarak, <strong>konum vekt\u00f6r\u00fc bir noktan\u0131n konumunu tan\u0131mlad\u0131\u011f\u0131ndan ve \u00f6te yandan yer de\u011fi\u015ftirme vekt\u00f6r\u00fc konum vekt\u00f6r\u00fcn\u00fcn iki an aras\u0131ndaki de\u011fi\u015fimini g\u00f6sterdi\u011finden yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ve konum vekt\u00f6r\u00fc ba\u011flant\u0131l\u0131d\u0131r<\/strong> . <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/vektor-pozisyonu\/\">Konum vekt\u00f6r\u00fc nedir?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, yer de\u011fi\u015ftirme vekt\u00f6r\u00fcn\u00fcn nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve buna ek olarak kavram\u0131 do\u011fru bir \u015fekilde \u00f6z\u00fcmsemek i\u00e7in \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc nedir? Yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, ba\u015flang\u0131\u00e7 konumundan son konuma giden vekt\u00f6r olarak tan\u0131mlan\u0131r; yani yer de\u011fi\u015ftirme vekt\u00f6r\u00fc, bir cismin konumunun de\u011fi\u015fimini temsil eden vekt\u00f6rd\u00fcr. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/vektor-kaydirma\/\"> <span class=\"screen-reader-text\">Vekt\u00f6r kayd\u0131rma<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-436","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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oldu\u011funu, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve yer de\u011fi\u015ftirme vekt\u00f6r\u00fc ile ilgili \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmalar\u0131 bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/tr\/vektor-kaydirma\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-18T04:55:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" \/>\n<meta name=\"author\" content=\"Jonathan Reynolds\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jonathan Reynolds\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" 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