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Öğretmen, a vektörünün aşağı doğru dört birim büyüklüğünde olduğunu belirterek, iki a vektörünü, a bölü iki vektörünü, eksi a vektörünü ve eksi iki a vektörünü nasıl çizeceğimizi adım adım göstermektedir. Her bir vektör için büyüklük ve yön değişiklikleri detaylı olarak açıklanmaktadır."]},"endTime":156,"title":"9. 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Sınıf Fizik 2. Ünite | Kuvvet ve Hareket | 2024 - 2025 Yeni maarif modeli müfredatında yer alan \"FİZ.9.2.4 Vektörlerin Toplanmasi \" öğrenme çıktısı konu anlatım...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3606749/4808b79a97440ffd0e0a34a582e2efde/564x318_1"},"target":"_self","position":"14","reqid":"1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=videoid:11104747214203860699","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan fizik dersinde vektörlerin toplanması konusunu anlatan eğitim içeriğidir.","Video, vektörlerin toplanma yöntemlerini üç ana başlık altında ele almaktadır: aynı doğrultulu vektörlerin toplanması, farklı doğrultulu vektörlerin toplanması ve farklı doğrultulu vektörlerin toplanması için kullanılan yöntemler (uç uca ekleme yöntemi, paralelkenar yöntemi ve bileşenlere ayırma yöntemi). Her yöntem için teorik bilgiler verildikten sonra örnekler üzerinden uygulamalı anlatım yapılmaktadır.","Videoda ayrıca dik bileşenlerine ayırma yöntemi detaylı olarak gösterilmekte, vektörlerin dik kartezyen koordinat sistemine taşınması, x ve y eksenlerine dikme çizilmesi ve bu dikmelerin kestiği noktaların vektörün bileşenlerini vermesi anlatılmaktadır."]},"endTime":1182,"title":"Fizik Dersinde Vektörlerin Toplanması","beginTime":0}],"fullResult":[{"index":0,"title":"Vektörlerin Toplanması","list":{"type":"unordered","items":["Vektörler yönü dikkate alınarak toplanabilir ve toplam vektöre bileşke vektör denir.","Bileşke vektör R ile gösterilir ve vektörler yönlü büyüklükler olduğundan toplama işlemi yapılırken yönleri dikkate alınmalıdır."]},"beginTime":5,"endTime":21,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=5&ask_summarization=1"},{"index":1,"title":"Aynı Doğrultudaki Vektörlerin Toplanması","list":{"type":"unordered","items":["Aynı doğrultuda ve aynı yönde olan vektörler birbirlerini desteklerler.","Bileşke kuvvetin büyüklüğü, vektörlerin normal toplamına eşittir.","Örneğin, F₁=5 N ve F₂=3 N ise, bileşke kuvvetin büyüklüğü R=5+3=8 N'dir."]},"beginTime":21,"endTime":76,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=21&ask_summarization=1"},{"index":2,"title":"Zıt Yönlü Vektörlerin Toplanması","list":{"type":"unordered","items":["Zıt yönde uygulanan vektörler birbirlerinin etkisini azaltır.","Bileşke kuvvetin büyüklüğü, büyük olan kuvvetten küçük olan kuvveti çıkartarak hesaplanır.","Bileşke kuvvetin yönü, büyük olan kuvvetin yönünde olur.","Örneğin, F₁=5 N ve F₂=3 N ise, bileşke kuvvetin büyüklüğü R=5-3=2 N'dir."]},"beginTime":76,"endTime":133,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=76&ask_summarization=1"},{"index":3,"title":"Örnek Soru","list":{"type":"unordered","items":["Kare bölmeleri üzerine verilen A, B, C, D, E vektörlerinin toplamı sorulmaktadır.","Karelerin her biri bir birim olduğuna göre toplam kaç birim olduğu bulunması istenmektedir."]},"beginTime":133,"endTime":143,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=133&ask_summarization=1"},{"index":4,"title":"Vektörlerin Toplanması","list":{"type":"unordered","items":["Aynı yönde olan vektörlerin toplamı, vektörlerin büyüklüklerinin toplamına eşittir.","Zıt yönde olan vektörlerin toplamı, vektörlerin büyüklüklerinin farkına eşittir ve yönü büyük olan vektörün yönündedir.","Farklı doğrultulu vektörlerin toplanması için uç uca ekleme, paralelkenar ve bileşenlere ayırma yöntemleri kullanılır."]},"beginTime":144,"endTime":357,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=144&ask_summarization=1"},{"index":5,"title":"Uç Uca Ekleme Yöntemi","list":{"type":"unordered","items":["Uç uca ekleme yönteminde, vektörlerin başlangıç noktası bitiş noktasına gelecek şekilde peş peşe eklenir.","Vektörlerin sırası önemli değildir, önemli olan peş peşe eklenmesidir.","İlk vektörün başlangıç noktasından en son vektörün bitiş noktasına çizilen vektör, toplam vektördür."]},"beginTime":357,"endTime":395,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=357&ask_summarization=1"},{"index":6,"title":"Uç Uca Ekleme Yönteminin Uygulamaları","list":{"type":"unordered","items":["Uç uca ekleme yönteminde, vektörlerin yönü ve şiddetini değiştirmeden taşınması gerekir.","Vektörlerin toplamı, başlangıç noktasından bitiş noktasına çizilen vektördür.","Eğer peş peşe eklenen vektörler dönüp dolaşıp tekrar aynı yere geri geliyorsa, bileşke vektör sıfırdır."]},"beginTime":395,"endTime":757,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=395&ask_summarization=1"},{"index":7,"title":"Paralelkenar Yöntemi","list":{"type":"unordered","items":["Paralelkenar yöntemi iki vektör için uygulanır, ikiden fazla vektör için sırayla iki vektör için yapılır.","Paralelkenar yönteminde, vektörlerin başlangıç noktası çakışacak şekilde taşınır.","Vektörlerden birinin ucuna diğerine paralel olacak şekilde doğrultu çizilir ve başlangıçların çakıştığı noktadan bu doğrultuların çakışma noktasına çizilen vektör bileşke vektördür."]},"beginTime":757,"endTime":931,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=757&ask_summarization=1"},{"index":8,"title":"Dik Bileşenlerine Ayırma Yöntemi","list":{"type":"unordered","items":["Dik bileşenlerine ayırma yönteminde toplanacak vektörler parçalara ayrılır ve bu parçalar toplanarak bileşke vektör elde edilir.","Vektörler dik kartezyen koordinat sistemine taşınır ve başlangıç noktası sistemin sıfır noktasına getirilir.","Vektörün ucundan x ve y eksenine dikmeler çizilerek, bu dikmelerin eksenleri kestiği yerlere doğru çizilen vektörler, vektörün x ve y eksenlerindeki parçalarını verir."]},"beginTime":936,"endTime":995,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=936&ask_summarization=1"},{"index":9,"title":"Bileşenlerin Toplanması","list":{"type":"unordered","items":["Bulunan bileşenler bir tablo çizerek işlenir ve işaretlere dikkat edilir: sağa ve yukarı doğru olanlar artı, sola ve aşağı doğru olanlar eksi işaretlidir.","Vektörlerin x ve y eksenlerindeki parçaları tabloya yazıldıktan sonra toplanır.","Elde edilen x ve y koordinatları, bileşke vektörünün kendisini verir."]},"beginTime":995,"endTime":1062,"href":"/video/preview/11104747214203860699?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=995&ask_summarization=1"},{"index":10,"title":"Örnek Uygulama","list":{"type":"unordered","items":["K, L ve M vektörleri dik kartezyen koordinat sistemi üzerinde başlangıç noktası sıfır noktasına gelecek şekilde taşınır.","Vektörlerin x ve y eksenlerindeki parçaları tabloya işlenir ve işaretlerine dikkat edilir.","X ve y eksenlerindeki parçalar toplandığında, bileşkenin x ekseninde -5 birim, y ekseninde 2 birim parçası olduğu 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A vektörü hesaplanırken, F vektörünün 4 birim sağa, A vektörünün 2 birim sola hareket ettiği için sonuç 2 birim sağa yönlü olur.","A + C + F vektörü hesaplanırken, A vektörünün 2 birim sağa, C vektörünün 3 birim sola, F vektörünün 4 birim sağa hareket ettiği için sonuç 3 birim sağa yönlü olur."]},"beginTime":154,"endTime":236,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=154&ask_summarization=1"},{"index":2,"title":"Vektör Bileşkelerinin Görsel Çözümü","list":{"type":"unordered","items":["Vektörlerin bileşkesini bulmak için ucu ekleme yöntemi kullanılır: bir vektörün başlangıç noktasına, diğer vektörün bitiş noktası konulur.","Şekildeki vektörlerin bileşkesi incelendiğinde, bazı vektörlerin bileşkesi sıfır vektörüne (kısır döngü) dönüşür.","Vektörlerin bileşkesi hesaplanırken, aynı yönlü vektörler toplanır, zıt yönlü vektörler çıkarılır."]},"beginTime":236,"endTime":382,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=236&ask_summarization=1"},{"index":3,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["Büyüklükleri eşit ve 20 birim olan vektörlerin bileşkesi hesaplanırken, vektörler parçalara ayrılır ve ucu ekleme yöntemi kullanılır.","Bazı vektörlerin bileşkesi sıfır vektörüne (kısır döngü) dönüşür ve hesaba katılmaz.","Kalan vektörlerin bileşkesi hesaplanır ve toplam bileşke vektör 80 birim sağa yönlü olarak bulunur."]},"beginTime":382,"endTime":611,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=382&ask_summarization=1"},{"index":4,"title":"Vektör Toplama Yöntemleri","list":{"type":"unordered","items":["Ucu ekleme yöntemi ve x-y bileşenlerine ayırma yöntemi kullanılarak vektör toplama işlemi gösterilecek.","Ucu ekleme yönteminde, vektörler birbirlerine eklenerek yeni bir vektör oluşturulur.","B vektörü sağa doğru üç birim, yukarı doğru iki birim giden şekilde taşınarak yeni konuma yerleştirilir."]},"beginTime":625,"endTime":649,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=625&ask_summarization=1"},{"index":5,"title":"Vektörlerin Taşınması ve Bileşenleri","list":{"type":"unordered","items":["B vektörünün bitiş noktası aşağı doğru iki birim, sola doğru üç birim giden şekilde belirlenir.","A vektörü sadece sola doğru iki birim giden şekilde taşınır.","C vektörü x ekseninde iki birim, y ekseninde bir birim gider."]},"beginTime":649,"endTime":678,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=649&ask_summarization=1"},{"index":6,"title":"Bileşke Vektörün Hesaplanması","list":{"type":"unordered","items":["Bileşke vektör, en baştaki vektörün başlangıç noktasından en sondaki vektörün bitiş noktasına doğru çizilir.","X ekseninde toplam 4 birim, y ekseninde ise toplam -4 birim değerleri bulunur.","Sonuç olarak r bileşke vektörü aşağı doğru dört birim gider."]},"beginTime":678,"endTime":772,"href":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=678&ask_summarization=1"}],"linkTemplate":"/video/preview/8931341192216537157?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. 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Sınıf Fizik Konu AnlatımVektörlerin toplanması: uc uca ekleme, paralelkenar yöntemi, bileşenlerine ayırma 2024/2025 öğretim yılı MEB Fizik ders...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3378280/a73342f958427a5cd72c91d5cbe09058/564x318_1"},"target":"_self","position":"17","reqid":"1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=videoid:6400886972982120886","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, vektörlerde toplama yöntemlerinden biri olan uç uca ekleme yöntemini anlatmaktadır.","Videoda uç uca ekleme yönteminin temel prensipleri açıklanmakta ve çeşitli örneklerle gösterilmektedir. Eğitmen, vektörlerin nasıl çizileceğini, bileşke vektörün nasıl bulunacağını ve farklı vektörlerin farklı sıralamalarda nasıl eklenebileceğini adım adım anlatmaktadır. Ayrıca, uç uca ekleme yöntemiyle vektörlerin toplamının sıfır olduğu durumlar da vurgulanmaktadır. Video boyunca eğitmen, izleyicilere bazı soruları kendilerinin çözmelerini önererek interaktif bir öğrenme ortamı sunmaktadır."]},"endTime":691,"title":"Vektörlerde Uç Uca Ekleme Yöntemi Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Vektörlerde Uç Uca Ekleme Yöntemi","list":{"type":"unordered","items":["Vektörlerde uç uca ekleme yöntemi, bir vektörün ucuna diğer vektörün başlangıç noktasını koyarak uygulanır.","Vektörlerin toplamına bileşke vektör denir ve bileşke vektör, vektörlerin başladığı yerde başlayıp bittiği yerde biten bir vektördür.","Bileşke vektör R ile gösterilir ve vektörlerin toplamı olarak adlandırılır."]},"beginTime":0,"endTime":38,"href":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Uç Uca Ekleme Yönteminin Uygulanması","list":{"type":"unordered","items":["Örnek olarak K vektörü (3 birim) ve L vektörü (4 birim) uç uca eklendiğinde, bileşke vektör vektörlerin başladığı yerden başlayıp bittiği yerde biten bir vektördür.","Vektörlerin toplama sırası önemli değildir, doğru eklenirse her sırada aynı sonuca ulaşılır.","Üç vektör (E1, E2, E3) uç uca eklendiğinde, bileşke vektör vektörlerin başladığı yerden başlayıp bittiği yerde biten bir vektördür."]},"beginTime":38,"endTime":203,"href":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=38&ask_summarization=1"},{"index":2,"title":"Farklı Sıralarda Uç Uca Ekleme","list":{"type":"unordered","items":["Vektörlerin toplama sırası değiştirildiğinde (E3'ten başlayarak) bile bileşke vektör aynı sonuca ulaşır.","Farklı vektörler (K, L, M) uç uca eklendiğinde, bileşke vektör vektörlerin başladığı yerden başlayıp bittiği yerde biten bir vektördür.","Dört vektör (K, L, M, N) uç uca eklendiğinde, bileşke vektör vektörlerin başladığı yerden başlayıp bittiği yerde biten bir vektördür."]},"beginTime":203,"endTime":553,"href":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=203&ask_summarization=1"},{"index":3,"title":"Bileşke Vektörün Büyüklüğü","list":{"type":"unordered","items":["Bileşke vektörün büyüklüğü, vektörlerin oluşturduğu üçgenin hipotenüsü olarak hesaplanabilir.","Üçgenin hipotenüsü, a² + b² = c² formülü kullanılarak bulunabilir.","Beş vektör (E1, E2, E3, E4, E5) uç uca eklendiğinde, bileşke vektör vektörlerin başladığı yerden başlayıp bittiği yerde biten bir vektördür."]},"beginTime":553,"endTime":645,"href":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=553&ask_summarization=1"},{"index":4,"title":"Uç Uca Ekleme Yönteminin Özel Durumu","list":{"type":"unordered","items":["Uç uca ekleme yöntemi uygulandığında, başlangıç noktasına geri dönüldüğünde (kapalı bir hale geldiğinde) vektörlerin toplamı sıfırdır.","Bu durumda, vektörlerin sayısı önemli değildir, önemli olan kapalı bir hale gelmesidir."]},"beginTime":645,"endTime":689,"href":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=645&ask_summarization=1"}],"linkTemplate":"/video/preview/6400886972982120886?parent-reqid=1769493659395748-7538938583273580198-balancer-l7leveler-kubr-yp-sas-251-BAL&text=Vektor9+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Vektörlerde Toplama | UÇ UCA Ekleme Yöntemi | 9. 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